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Independent Events

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More Lessons for Probability, Math Worksheets

What are Independent Events in Probability?
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.

How to calculate the probability of independent events?

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)


If a dice is thrown twice, find the probability of getting two 5’s.



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.


a) Probability that she picked J and R =

b) Probability that both letters are L =

c) Probability that both letters are vowels =


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.


a) Probability the red die shows 2 and white die 5 =

b) Probability the white die shows 1 and red die shows an even number =

The following videos give more examples of calculating the Probability of Independent Events.


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget which allows your to practice solving Algebra, Trigonometry, Calculus and other math topics.

You can use the Mathway widget below to practice Statistics or other math topics. Try the given examples, or type in your own problem. Then click "Answer" to check your answer.

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