Question

g 3.23 Marbles in an urn. Imagine you have an urn containing 5 red, 3 blue, and 2 orange marbles in it. (a) What is the probability that the first marble you draw is blue

Answer 1

`P(Blue) = 0.3`

Explanation:

Given

Red = 5

Blue = 3

Orange = 2

Required

Probability that the first marble is Blue

First, the total number of marble has to be calculated;

`Total = Red\ Marble + Blue\ Marble + Orange\ Marble`

`Total = 5 + 3 + 2`

`Total = 10`

The probability of Blue being the first is calculated as thus;

`P(Blue) = (n(Blue))/(Total)`

`P(Blue) = (3)/(10)`

`P(Blue) = 0.3`

Hence, the required probability is 0.3