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Ethan's dresser contains 4 pairs of shorts, 1 each in the colors red, black, blue, and grey. His dresser also contains 3 T-shirts, one each in the colors black, navy, and grey.


Ethan has to get dressed in the dark, so he grabs a pair of shorts and a T-shirt at random from his dresser.


What is the probability that he selects a grey pair of shorts and a grey T-shirt?

Respuesta :

TaeKwonDoIsDead

Answer:

[tex]\frac{1}{12}[/tex]


Step-by-step explanation:

In basic probability theory, AND means MULTIPLICATION and OR means ADDITION.

We want to find probability of grey pair of shorts AND grey T-Shirt. So we need to multiply the individual probabilities.

P(grey shorts) = [tex]\frac{1}{4}[/tex]  (total 4 colors and 1 grey)

P(grey tshirt) = [tex]\frac{1}{3}[/tex]  (total 3 colors and 1 grey)


P(grey shorts AND grey tshirt) = [tex]\frac{1}{4}*\frac{1}{3}=\frac{1}{12}[/tex]

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