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Armando has 3 blue shirts, 3 green shirts,

and 2 red shirts. He has 3 pairs of jeans

and 4 pairs of cargo pants. He is equally

likely to wear any of the shirts with any

pair of pants. What is the probability that

Armando will wear a green shirt with cargo pants?

Sagot :

Answer:

0.2143 = 21.43% probability that Armando will wear a green shirt with cargo pants.

Step-by-step explanation:

Probability:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of independent events:

The probability of two independent events is the multiplication of their separate probabilities.

Green shirt:

3 green shirts, out of 3 + 3 + 2 = 8 shirts.

So 3/8 probability of green shirts.

Cargo pants:

4 cargo pants, our of 4 + 3 = 7.

So 4/7 probability of cargo shirts.

Green shirt and cargo pants:

[tex]p = \frac{3}{8} \times {4}{7} = \frac{12}{56} = \frac{3}{14} = 0.2143[/tex]

0.2143 = 21.43% probability that Armando will wear a green shirt with cargo pants.

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