Probability Worksheets

Work out the following.
When necessary, give your answer in fractions eg. 2/5

1. When a fair die is thrown, what is the probability of getting a number greater than 4?


2. If a number is chosen at random from the numbers 1 to 20 inclusive, what is the probability that:
a) a prime number will be picked?


b) an even number will be picked?


c) a single digit number will be picked?



3 . Each of the letters of the word “SUCCESS” is written on a card and all the cards are placed into a bag. A card is randomly selected from the bag. Find the probability that the card bears:
a) the letter ‘S’


b) a vowel


c) the letter ‘A’



4 . A bag contains 7 white balls, 3 red balls and 2 black balls. A ball is picked from the bag at random. Find the probability of:
a) picking a red ball.


b) picking a black ball.


c) picking either a white or black ball.



5 . Jonathan spins 2 spinners; one of which is labelled 1, 2 and 3, and the other is labelled A, B, C and D.

Given that all the outcomes are equally likely, find the probability that:
a) the spinners stop at “2” and “C”.


b) the spinners stop at “3” and either “B” or “D”


c) the spinners stop at “A” and any number.



6 . Albert chooses a card at random from those as shown below:

What is the probability that the card is:
a) an M?


b) an A or an E?


c) a U?