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.