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Probability of Picking a Colour

In this worksheet, students calculate the probability of choosing a certain colour.

'Probability of Picking a Colour' worksheet

Key stage:  KS 3

Curriculum topic:   Probability

Curriculum subtopic:   Understand Probability Outcomes

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Probability is written as a fraction.

On the top (numerator) of the fraction, we place the number of options we are looking for.

On the bottom (denominator) of the fraction, we place the total number of possible combinations.

 

 

Example

Look at these coloured cards.

 

What is the probability of selecting a yellow card at random?

 

Answer

There are 4 options that "we are looking for". This is the four yellow cards.

There are 6 "possible combinations".

 

The probability of choosing a yellow card is 4/6 which reduces to 2/3.

Look at these coloured cards.

 

 

What is the probability of selecting a red card at random? 

 

Look at these coloured cards.

 

 

What is the probability of selecting a blue card at random?

Look at these coloured cards.

 

 

What is the probability of selecting a yellow card at random?  Give your answer in its lowest form.

 

Look at these coloured cards.

 

 

What is the probability of selecting a red card at random?

 

Look at these coloured cards.

 

 

What is the probability of selecting a green card at random?  Give your answer as a number.

Look at these coloured cards.

 

 

What is the probability of selecting a red card at random?

Look at these coloured cards.

 

 

What is the probability of selecting a yellow card at random?

Look at these coloured cards.

 

 

What is the probability of selecting a blue card at random?  Write your answer in the lowest form.

Look at these coloured cards.

 

 

What is the probability of selecting a blue card at random? Give your answer in the lowest form.

 

Look at these coloured cards.

 

 

What is the probability of selecting a red card at random?  Write your answer in the lowest terms.

 

  • Question 1

Look at these coloured cards.

 

 

What is the probability of selecting a red card at random? 

 

CORRECT ANSWER
EDDIE SAYS
How did you do with this first question? The total number of cards is 6, this must, therefore, be our denominator. Now, we look to work out the numerator (the number of cards out of the pack that are red) and we see there is one red card. This makes our fraction 1/6
  • Question 2

Look at these coloured cards.

 

 

What is the probability of selecting a blue card at random?

CORRECT ANSWER
EDDIE SAYS
Did you repeat the process? If you did you will see that 1 out of the 6 cards is blue, so this must be our answer.
  • Question 3

Look at these coloured cards.

 

 

What is the probability of selecting a yellow card at random?  Give your answer in its lowest form.

 

CORRECT ANSWER
EDDIE SAYS
So, this question needed a bit more work. 3 out of the 6 cards is yellow, so we could write that fraction as 3/6. But, did you read ALL the instructions? You need to give your answer in the lowest form. What number could go into both 3 and 6? Yes, that's right, it's the number 3. 3 goes into 3 once 3 goes into 6 twice Which means the fraction in it's lowest form is 1/2.
  • Question 4

Look at these coloured cards.

 

 

What is the probability of selecting a red card at random?

 

CORRECT ANSWER
EDDIE SAYS
Did you get this right? The total number of cards to make up the whole is 6. 2 of the cards are red which is the equivalent of 2/6. But we can simplify this fraction further as the number 2 goes into both 2 and 6. 2 ÷ 2 = 1 6 ÷ 2 = 3 So, there we have it: 1/3
  • Question 5

Look at these coloured cards.

 

 

What is the probability of selecting a green card at random?  Give your answer as a number.

CORRECT ANSWER
EDDIE SAYS
0/6 = 0
  • Question 6

Look at these coloured cards.

 

 

What is the probability of selecting a red card at random?

CORRECT ANSWER
EDDIE SAYS
So, did you start by working out how many parts made up the whole? When you count the cards you can see there are 8 pieces in total. Now, count up those red cards and you end up with 3/8.
  • Question 7

Look at these coloured cards.

 

 

What is the probability of selecting a yellow card at random?

CORRECT ANSWER
EDDIE SAYS
You know the process now! Did you get the answer as 3 (yellow cards)/ 8 (coloured cards in total)? Let's keep going!
  • Question 8

Look at these coloured cards.

 

 

What is the probability of selecting a blue card at random?  Write your answer in the lowest form.

CORRECT ANSWER
EDDIE SAYS
This was another one where you had to do a bit more. We can see that out of 8 cards (denominator) there are two (numerator) blue cards. 2/8 is a way of writing this fraction but we must always check to see if we can write it in a lower form. 2 is a multiple of 2 and 8, so we divide both of these by 2 and end up with our answer. 1/4!
  • Question 9

Look at these coloured cards.

 

 

What is the probability of selecting a blue card at random? Give your answer in the lowest form.

 

CORRECT ANSWER
EDDIE SAYS
First, we begin by counting all of the cards in total and we can see there are 12. Now we count up our blue cards and we see there are 6 blue cards in total. So we know that the probability is 6 in 12 chances of pulling out a blue card. 6/12, can we make this smaller? If we divide this by 2 we end up with 3/6 which looks like a good answer, but we should remember that this can be simplified further to give us 1/2 by dividing this by 3.
  • Question 10

Look at these coloured cards.

 

 

What is the probability of selecting a red card at random?  Write your answer in the lowest terms.

 

CORRECT ANSWER
1/3
EDDIE SAYS
Last question coming up. How many cards in total? Did you get 12? There are 4 red cards, so the probability is 4 out of 12 times the card could be red. 4/12, now can we reduce this to a lowest term? 4 is a multiple of 4 and 12, so when we reduce this we end up with 1/3. Well done, that's another activity completed!
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