Independent Events Probability Worksheet

Related Topics & Worksheets:
Independent Events
Dependent Events

Objective: I know how to find the probability events that are independent.

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Events are independent if the outcome of one event does not affect the outcome of another. For example, if you throw a die and a coin, the number on the die does not affect whether the result you get on the coin.
If A and B are independent events, then the probability of A happening AND the probability of B happening is P( A) × P( B).

P(A and B) = P(A) × P(B)

Read the lesson on independent 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. What is the probability of scoring a total of 18 when three fair dice are rolled? (Hint: the only way of getting a score of 18 is if the three dice shows a 6 each.)

2. Two fair dice, one coloured white and one coloured red, are thrown. Find the probability that:
a) the score on the red die is 2 and white die is 5.

b) the score on the white die is 1 and red die is even.

c) the score on the white die is either 3 or 5.

d) the score on the white die is either 3 or 5 and the red die is odd.

e) both die shows a 4 or 5.

3. Two sets of cards with a letter on each card as follows are placed into separate bags.

Sara randomly picked one card from each bag.
Find the probability that:
a) She picked the letters ‘J’ and ‘R’.

b) Both letters are ‘L’.

c) Both letters are vowels.

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