Question

Anna has 2 purple lipsticks, 3 red lipsticks and 3 pink lipsticks in her kit. She picks one lipstick, record its color, puts it back in the kit and draws another lipstick. What is the probability of taking out a purple lipstick followed by the red lipstick?

Answer 1

9/64

Explanation:

This is a probability problem on selection with replacement, that is the sample size does not change after each selection or event.

Given data

2 purple lipsticks,

3 red lipsticks and

3 pink lipsticks

The sample space s=(2,3,3)

The sample size= 8

1. the probability of taking a purple lipstick Pr(purple)=
`(3)/(8) \\`

2.the probability of taking a red lipstick Pr(red)=
`(3)/(8)`

probability of taking out a purple lipstick followed by the red lipstick is

`= (3)/(8) * (3)/(8) = (9)/(64)`