Respuesta :
Answer:
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 = [tex]^5C_2[/tex]
= [tex]\frac{5!}{2!(5-2)!}[/tex]
= 10
Similarly, number of ways to pick 1 plaid shirt out of 3 plaid shirts = [tex]^3C_1[/tex]
= [tex]\frac{3!}{2!(3-2)!}[/tex]
= 3
Total number of ways to pick 3 shirts out of 10 = [tex]^{10}C_3[/tex]
= [tex]\frac{10!}{3!(10-3)!}[/tex]
= 120
Therefore, probability of choosing 2 stripped and 1 plaid shirt
= [tex]\frac{\text{Favorable outcome}}{\text{Total outcomes}}[/tex]
= [tex]\frac{10\times 3}{120}[/tex]
= [tex]\frac{1}{4}[/tex]
= 0.25
