# 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

Return from Math Probability - Independent Events to Probability Videos