Math Probability Independent Events

Watch the following math probability video to learn how to find the probability of two independent events.

Definition

Two events are independent if the outcome of one event does not influence the outcome of the second event.

Strategy

To find the probability of two independent events, simply MULTIPLY the probabilities of the two events, and simplify the product.

Example 1

A bag of candies contains 2 red, 5 green, and 3 yellow candies. Another bag of candies contains 10 red, 7 orange, and 2 green candies. What is the probability of drawing a red candy from each bag?

Solution

P (bag 1) = the number of red candies in the first bag / the total number of candies in the first bag = 2 / 10

P (bag 2) = the number of red candies in the 2nd bag / the total number of candies in the 2nd bag = 10 / 19

P (red candies from each bag) = (2 / 10 ) x (10 / 19) = (2 x 10) / (10 x 19) = 2 / 19

Example 2

A coin is tossed and a number cube is rolled. What is the probability of getting tails and a number greater than 1?

Solution

P(tails) = 1 / 2 (because each coin has two unique faces)

P (number greater than 1) = the number of digits greater than 5 but less than or equal to six / the total number of faces = 5 / 6

P ( tails AND a number greater than 1) = (1 / 2) x (5 / 6) = 5 / 12

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