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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?

Respuesta :

samuelonum1

Answer:

9/64

Step-by-step 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)= [tex]\frac{3}{8} \\[/tex]

2.the probability of taking a red lipstick Pr(red)= [tex]\frac{3}{8}[/tex]

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

[tex]= \frac{3}{8} * \frac{3}{8} = \frac{9}{64}[/tex]

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