Probability 2: Mastery Questions
Guidance Notes - To answer each question, click on the letter that corresponds to the correct answer. You then need to click the 'Check' button to see if you are correct. If your answer is incorrect, you will be given a hint on how to get the correct answer. You then need to click the 'Try again' button to attempt the question once more.

Look at these bags of marbles. Each one contains 10 marbles. One marble is chosen at random from each bag. The probability line represents the chance of choosing a green marble.


Questions 1 to 4 refer to these bags and the probability line below.
1. Which arrow represents bag 1?

  A  
  B  
  C  
  D  
    
2. Which arrow represents bag 2?

  A  
  B  
  C  
  D  
     
3. Which arrow represents bag 3?

  A  
  B  
  C  
  D  
    
4. Which arrow represents bag 4?

  A  
  B  
  C  
  D  
    
5. Which word best describes the chances of the sun setting tomorrow?

  A  
  B  
  C  
  D  
Certain
Unlikely
Likely
Even chance
    
6.

Matthew has some multilink in a box (shown above) and chooses one at random.
What is the probability that it is blue?

  A  
  B  
  C  
  D  
58
14
512
712
    
7. What is the probability of throwing a multiple of 3 with a fair six-sided dice?

  A  
  B  
  C  
  D  
16
36
23
26
    
8. Each of these cards has 2 numbers on them.
Amber chooses a card at random. She adds up the 2 numbers.What is the most likely total of the numbers on her card?

  A  
  B  
  C  
  D  
5
10
11
12
    
9. Look at this set of cards

Jon chooses three of them. How many different ways can he do this if the order doesn't matter?

  A  
  B  
  C  
  D  
4
6
12
24
    
For Questions 10 and 11, you will need to answer them using paper and pencil and then click the 'Check' button to see if you have done them correctly.
10.
You toss a 50p coin, a £1 coin and a £2 coin at the same time.
a) Draw a sample space to show all of the possible results.
b) What is the probability that you get:
(i) 3 heads?
(ii) 3 the same?
(iii) 2 tails and 1 head in any order?		     
11. Alice has designed a spinner with several equally sized red, blue, green and white sectors.
She then created a table to show the probability of getting each colour, which is shown below:

  Red  
 Blue 
Green
White
14
13
14
16

a) Assuming Alice is correct, how many sectors of each color might she have designed?
b) Can you find another solution?
c) Could Alice's spinner have 30 sectors? Explain your answer.		     
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