Determine the probability

Question

A box contains 4 black shirts, 8 blue shirts, 4 black pants, and 10 blue pants. Determine the probability of randomly selecting a blue piece of clothing or a pair of pants.

Use P(A or B)= P(A) + P(B) - P( A and B) to explain your answer.

Answer 1

4 Black Shirts

8 Blue Shirts

4 Black Pants

10 Blue Pants

Pr(A or B) = P(A) + P(B) - P(A&B)

A=Blue cothing, Blue Shirt or Blue pants

B = pants, Black pants or Blue pants

Pr(A or B) = (8+10)/(26) + (4+10)/26 - 10/26

= 18/26 +14/26 -10/26

= (32-10)/26

=22/26

=11/13 = about 84.6% of selecting blue clothing or pants

Answer 2