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Independent Events Probability

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

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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