Question

7. The store at your school wants to stock T-shirts that come in five sizes (small, medium, large, XL, XXL) and in two colors (orange and black).

a. How many different type T-shirts will the store have to stock?
b. At the next basketball game, the cheerleaders plan to have a T-shirt toss. If they have one T-shirt of each type in a box and select a shirt at random, what is the probability that the first
randomly selected T-shirt is a large orange T-shirt?

Answer 1

a. 10

b. 0.1

Explanation:

a. The t-shirts comes in 5 sizes (Small,medium,large, extra large and extra extra large) and two colors orange and black. The total different type of shirts are 5*2=10 different type of t-shirts.Also if we make sample space of all shirts we can assess the total different type of t-shirts. sample space=S={small orange,medium orange,large orange,XL orange,XXL orange,small black,medium black,large black,XL black,XXL black}. n(S)=total different type of shirts=10.

b. P( large orange t-shirt)=n(large orange t-shirt)/n(S)=1/10=0.10.