Question

a bag contains 3 red balls and 1 blue ball. what is the expected number of red balls in the first bag

Answer 1

`Expected\ Value = 3`

Explanation:

Given

`Red\ Balls = 3`

`Blue\ Balls = 1`

Required

Determine the expected number of red balls

First, we calculate the probability of a red ball

`P(Red\ Ball) = (Red\ Ball)/(Total)`

`P(Red\ Ball) = (3)/(3 + 1)`

`P(Red\ Ball) = (3)/(4)`

`P(Red\ Ball) = 0.75`

The expected value is then calculated as:

`Expected\ Value = P(Red\ Ball) * Total`

`Expected\ Value = 0.75 * 4`

`Expected\ Value = 3`