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

Answer:

$Expected\ Value = 3$

Step-by-step 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

$P(Red\ Ball) = \frac{Red\ Ball}{Total}$

$P(Red\ Ball) = \frac{3}{3 + 1}$

$P(Red\ Ball) = \frac{3}{4}$

$P(Red\ Ball) = 0.75$

The expected value is then calculated as:

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

$Expected\ Value = 0.75 * 4$

$Expected\ Value = 3$