Jack's favorite colors are blue and red.

He has 2 blue shirts, 1 red shirt, 1 blue jacket, 1 red belt, 1 blue pair of pants and 1 red pair of pants.

Jack selects one of these garments at random. Let A be the event that he selects a blue garment and B be the event that he chooses a belt.

What is the probability that the garment Jack chooses is either blue or a belt?

Answer: Probability of event A = 0.57

Probability of event B = 0.14

Step-by-step explanation:

The data is:

2 blue shirts

1 red shirt

1 blue jacket

1 red belt

1 blue pair of pants

1 red pair of pants

the total number of garments is: 2 + 1 + 1 + 1 + 1 + 1 = 7

the number of blue ones is: 2 + 1 + 1 = 4

the number of belts is: 1

then, the probability of selecting at random one blue garment is equal to the number of blue ones divided the total number:

Pa = 4/7 = 0.57

the probability of selecting the belt is equal to the number of belts divided the total number of garments, this is:

Pb = 1/7 = 0.14

5/7 or 71%

Step-by-step explanation:

4/7 (blue) + 1/7 (belt) = 5/7