Mathematics: Please help i need to get this done correctly so i can go to my game and play on my device

Please help i need to get this done correctly so

shartman22

01.06.2023

Probability of choosing 2 stripped and 1 plaid shirts = 0.25

Step-by-step explanation:

Number of stripped shirt in the closet = 5

Number of plaid shirts = 3

Number of solid color shirts = 2

Total number of shirts = 10

Number ways to pick 2 stripped out of 5 stripped shirts = ^5C_2

= $\frac{5!}{2!(5-2)!}$

= 10

Similarly, number of ways to pick 1 plaid shirt out of 3 plaid shirts = ^3C_1

= $\frac{3!}{2!(3-2)!}$

= 3

Total number of ways to pick 3 shirts out of 10 = $^{10}C_3$

= $\frac{10!}{3!(10-3)!}$

= 120

Therefore, probability of choosing 2 stripped and 1 plaid shirt

= $\frac{\text{Favorable outcome}}{\text{Total outcomes}}$

= $\frac{10\times 3}{120}$

= $\frac{1}{4}$

= 0.25

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