Question

At a sporting event, cheerleaders will throw 50 bundled T-shirts into the crowd. The T-shirt sizes consist of 10 small, 15 medium, and the remainder either large or extra large. Suppose Ana catches a T-shirt. What is the probability that she will catch a T-shirt that is not a size small?

Answer 1

Answer:

The probability that she will catch a T-shirt that is not a size small is $(\frac{4}{5}) .$

Step-by-step explanation:

Here, the total number of shirts thrown in the crowd = 50

The number of small shirts  thrown =  10

The number of medium shirts  thrown =  15

The number of large/ extra large shirts = Total shirts - ( 10 + 15)

                                                                  = 50 - 25 = 25

So, in total 25 shirts are thrown in the crowd of large/extra large.

Now, the number shirts which is NOT SMALL size  

= Total shirts - Shirts with small size = 50 - 10 = 40

$\textrm{Probability of getting a NOT SMALL t shirt } = \frac{\textrm{The total NOT SMALL t-shirts}}{\textrm{The total number of t shirts}}\\\implies P( \textrm{not small t shirt}) = \frac{40}{50} = \frac{4}{5}$

Hence, the probability that she will catch a T-shirt that is not a size small is $(\frac{4}{5}) .$