# Probability Worksheet and Solutions

Objective: I know how to find the probability of an event.

In an experiment, an event is the result that we are interested in.

The probability of an event A, written P(A), is defined as

P(A) =

Read the lesson on probability for more information and examples.

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
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 labeled 1, 2 and 3, and the other is labeled 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?

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