# Probability - Probability Scale

**Question 1**

Describe each of the following events as either Impossible, Unlikely, Even Chance, Likely or Certain

a) When throwing a coin, it will land heads up.

a
Even Chance

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It is just as likely to get a heads or tails when throwing a coin (presuming landing on side is impossible)

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v

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b) When rolling a normal dice, you will get a number less than $10$

a
Certain

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s
All the numbers on a dice are less than $10$ so it will always happen!

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v

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c) When rolling a normal dice, you will get a number greater than $10$

a
Impossible

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s
All the numbers on a dice are less than $10$ so it will never happen!

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v

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d) When asking a stranger their favourite colour they say 'Red'

a
Unlikely

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s
There are lots of colour to choose from, so it is unlikely that they will pick Red.

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v

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e) Asking someone whether they likely chocolate and their answer being 'Yes'

a
Likely

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s
Most people like chocolate so this is likely to be the response.

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v

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f) The gender of a baby being a girl

a
Even Chance

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s
Keeping the question simple, it is just as likely for a baby to be a boy or a girl.

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v

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g) Today you will do maths problems

a
Certain

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s
As you are doing a maths problem now, it is certain you will be doing maths problems today.

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v

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h) Picking a King from a shuffled pack of cards randomly.

a
Unlikely

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s
Most cards are not Kings, therefore this is an unlikely event.

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v

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i) It will rain tomorrow

a
Depends where in the world you are

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s
Depends where in the world you are. If you are in Brazil, it may be unlikely, but if you are in England it may be likely.

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v

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j) Tomorrow it will snow in the Carribbean

a
Impossible

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s
It is always above freezing in the Caribbean so it will never snow

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**Question 2**

A spinner is spun with the letters A, B, C, D, E, F on it. The spinner is equally likely to fall on each. Describe each of the following events using the terms Impossible, Unlikely, Even Chance, Likely or Certain

a) It lands on a letter

a
Certain

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s
As all of the outcomes on the spinner are letters, it will be certain to land on one

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b) It lands on a vowel

a
Unlikely

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A and E are the only vowels. As there are more consonant than vowels, it is unlikely to land on one.

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c) It lands on A, B or C

a
Even Chance

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s
A, B and C make up half of the outcomes on the spinner so there is an even chance of it landing on one as there is of it not landing on one.

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d) It lands on a consonant

a
Likely

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s
As there are more consonants than vowels, it is likely to land on one

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e) It lands on a number

a
Impossible

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s
There are only letters on the spinner, so a number is impossible

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f) It lands on one of the letters in the word ADA

a
Unlikely

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ADA only has either an A or a D in it. There are more other letters than these two, so it is unlikely to land on either of those letters.

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**Question 3**

Place the following events on the following probability scale:

a) Event A: The sun will rise tomorrow

a

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s

It is certain that the sun will rise tomorrow

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b) Event B: After throwing a coin, it lands tails up

a

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s

It is just as likely to get a heads or tails when throwing a coin (presuming landing on side is impossible)

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v

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c) Event C: Picking a number card randomly out of a deck of shuffled cards.

a

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s

There are mostly numbered cards in a desk (in fact 36 out of 54 are) so this is very likely

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v

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d) Event D: You will win the lottery tomorrow

a

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s

This is an extremely unlikely event. Most lotteries have much less than a chance of one in a million to win

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e) Event E: The next person you see is a male

a

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In simple terms there are an even number as males and females in the world, so unless you are in certain circumstances (like an all girls school), there is an even chance of seeing a male or female next

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f) Event F: You will eat dinner tonight

a

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It is very likely that you will eat dinner tonight

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g) Event G: Rolling a normal dice and getting an even number

a

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s

Three out of six of the possibilities on a dice are even numbers, so there is an even chance.

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h) Event H: Picking two cards randomly out of a shuffled deck and neither of them being aces

a

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It is unlikely to pick an ace on your first turn (48 out of 52 of the cards aren't aces). It is also pretty unlikely you will pick an ace on the second card, so it is quite unlikely to get an ace at all

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**Question 4**

Place the following events on the following probability scale:

a) Event Z: In a bag of $2$ red balls and $2$ black balls, you pick out a red ball.

a

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b) Event Y: In a bag of $10$ green balls and $5$ yellow balls, you pick out a yellow ball.

a

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c) Event X: In a bag of $10$ green balls and $5$ yellow balls, you pick out a green ball.

a

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d) Event W: In a bag of $16$ silver balls and $1$ gold ball, you pick out a silver ball.

a

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e) Event V: In a bag of $16$ silver balls and $1$ gold ball, you pick out a red ball.

a

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f) Event U: In a bag of $3$ white balls and $2$ black balls and $1$ green ball, you pick out anything that isn't a white ball.

a

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g) Event T: In a bag of $3$ white balls and $2$ black balls and $1$ green ball, you pick out a ball.

a

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**Question 1**

Describe each of the following events as either Impossible, Unlikely, Even Chance, Likely or Certain

a) When throwing a coin, it will land heads up.

b) When rolling a normal dice, you will get a number less than $10$

c) When rolling a normal dice, you will get a number greater than $10$

d) When asking a stranger their favourite colour they say 'Red'

e) Asking someone whether they likely chocolate and their answer being 'Yes'

f) The gender of a baby being a girl

g) Today you will do maths problems

h) Picking a King from a shuffled pack of cards randomly.

i) It will rain tomorrow

j) Tomorrow it will snow in the Carribbean

**Question 2**

A spinner is spun with the letters A, B, C, D, E, F on it. The spinner is equally likely to fall on each. Describe each of the following events using the terms Impossible, Unlikely, Even Chance, Likely or Certain

a) It lands on a letter

b) It lands on a vowel

c) It lands on A, B or C

d) It lands on a consonant

e) It lands on a number

f) It lands on one of the letters in the word ADA

**Question 3**

Place the following events on the following probability scale:

a) Event A: The sun will rise tomorrow

b) Event B: After throwing a coin, it lands tails up

c) Event C: Picking a number card randomly out of a deck of shuffled cards.

d) Event D: You will win the lottery tomorrow

e) Event E: The next person you see is a male

f) Event F: You will eat dinner tonight

g) Event G: Rolling a normal dice and getting an even number

h) Event H: Picking two cards randomly out of a shuffled deck and neither of them being aces

**Question 4**

Place the following events on the following probability scale:

a) Event Z: In a bag of $2$ red balls and $2$ black balls, you pick out a red ball.

b) Event Y: In a bag of $10$ green balls and $5$ yellow balls, you pick out a yellow ball.

c) Event X: In a bag of $10$ green balls and $5$ yellow balls, you pick out a green ball.

d) Event W: In a bag of $16$ silver balls and $1$ gold ball, you pick out a silver ball.

e) Event V: In a bag of $16$ silver balls and $1$ gold ball, you pick out a red ball.

f) Event U: In a bag of $3$ white balls and $2$ black balls and $1$ green ball, you pick out anything that isn't a white ball.

g) Event T: In a bag of $3$ white balls and $2$ black balls and $1$ green ball, you pick out a ball.

__Answers__

**Question 1**

a) Even Chance

b) Certain

c) Impossible

d) Unlikely

e) Likely

f) Even Chance

g) Certain

h) Unlikely

i) Depends where in the world you are

j) Impossible

**Question 2**

a) Certain

b) Unlikely

c) Even Chance

d) Likely

e) Impossible

f) Unlikely

**Question 3**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 4**

a)

b)

c)

d)

e)

f)

g)

**Question 1**

Describe each of the following events as either Impossible, Unlikely, Even Chance, Likely or Certain

a) When throwing a coin, it will land heads up.

b) When rolling a normal dice, you will get a number less than $10$

c) When rolling a normal dice, you will get a number greater than $10$

d) When asking a stranger their favourite colour they say 'Red'

e) Asking someone whether they likely chocolate and their answer being 'Yes'

f) The gender of a baby being a girl

g) Today you will do maths problems

h) Picking a King from a shuffled pack of cards randomly.

i) It will rain tomorrow

j) Tomorrow it will snow in the Carribbean

**Question 2**

A spinner is spun with the letters A, B, C, D, E, F on it. The spinner is equally likely to fall on each. Describe each of the following events using the terms Impossible, Unlikely, Even Chance, Likely or Certain

a) It lands on a letter

b) It lands on a vowel

c) It lands on A, B or C

d) It lands on a consonant

e) It lands on a number

f) It lands on one of the letters in the word ADA

**Question 3**

Place the following events on the following probability scale:

a) Event A: The sun will rise tomorrow

b) Event B: After throwing a coin, it lands tails up

c) Event C: Picking a number card randomly out of a deck of shuffled cards.

d) Event D: You will win the lottery tomorrow

e) Event E: The next person you see is a male

f) Event F: You will eat dinner tonight

g) Event G: Rolling a normal dice and getting an even number

h) Event H: Picking two cards randomly out of a shuffled deck and neither of them being aces

**Question 4**

Place the following events on the following probability scale:

a) Event Z: In a bag of $2$ red balls and $2$ black balls, you pick out a red ball.

b) Event Y: In a bag of $10$ green balls and $5$ yellow balls, you pick out a yellow ball.

c) Event X: In a bag of $10$ green balls and $5$ yellow balls, you pick out a green ball.

d) Event W: In a bag of $16$ silver balls and $1$ gold ball, you pick out a silver ball.

e) Event V: In a bag of $16$ silver balls and $1$ gold ball, you pick out a red ball.

f) Event U: In a bag of $3$ white balls and $2$ black balls and $1$ green ball, you pick out anything that isn't a white ball.

g) Event T: In a bag of $3$ white balls and $2$ black balls and $1$ green ball, you pick out a ball.

__Answers__

**Question 1**

a) Even Chance

b) Certain

c) Impossible

d) Unlikely

e) Likely

f) Even Chance

g) Certain

h) Unlikely

i) Depends where in the world you are

j) Impossible

**Question 2**

a) Certain

b) Unlikely

c) Even Chance

d) Likely

e) Impossible

f) Unlikely

**Question 3**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 4**

a)

b)

c)

d)

e)

f)

g)

__Solutions__

**Question 1**

a) It is just as likely to get a heads or tails when throwing a coin (presuming landing on side is impossible)

b) All the numbers on a dice are less than $10$ so it will always happen!

c) All the numbers on a dice are less than $10$ so it will never happen!

d) There are lots of colour to choose from, so it is unlikely that they will pick Red.

e) Most people like chocolate so this is likely to be the response.

f) Keeping the question simple, it is just as likely for a baby to be a boy or a girl.

g) As you are doing a maths problem now, it is certain you will be doing maths problems today.

h) Most cards are not Kings, therefore this is an unlikely event.

i) Depends where in the world you are. If you are in Brazil, it may be unlikely, but if you are in England it may be likely.

j) It is always above freezing in the Caribbean so it will never snow

**Question 2**

a) As all of the outcomes on the spinner are letters, it will be certain to land on one

b) A and E are the only vowels. As there are more consonant than vowels, it is unlikely to land on one.

c) A, B and C make up half of the outcomes on the spinner so there is an even chance of it landing on one as there is of it not landing on one.

d) As there are more consonants than vowels, it is likely to land on one

e) There are only letters on the spinner, so a number is impossible

f) ADA only has either an A or a D in it. There are more other letters than these two, so it is unlikely to land on either of those letters.

**Question 3**

a)

It is certain that the sun will rise tomorrow

b)

It is just as likely to get a heads or tails when throwing a coin (presuming landing on side is impossible)

c)

There are mostly numbered cards in a desk (in fact 36 out of 54 are) so this is very likely

d)

This is an extremely unlikely event. Most lotteries have much less than a chance of one in a million to win

e)

In simple terms there are an even number as males and females in the world, so unless you are in certain circumstances (like an all girls school), there is an even chance of seeing a male or female next

f)

It is very likely that you will eat dinner tonight

g)

Three out of six of the possibilities on a dice are even numbers, so there is an even chance.

h)

It is unlikely to pick an ace on your first turn (48 out of 52 of the cards aren't aces). It is also pretty unlikely you will pick an ace on the second card, so it is quite unlikely to get an ace at all

**Question 4**

a)

b)

c)

d)

e)

f)

g)