Shirt Probability and Counting Problems

This video tutorial explains how to calculate probabilities for 'or' problems, focusing on dependent events. It uses examples involving shirts of different colors to demonstrate how to add probabilities and account for overlaps. The tutorial covers the probability of picking a white or black shirt and extends to scenarios with overlapping events, such as shirts with pockets. The video aims to clarify the concept of adding probabilities and handling overlaps in probability calculations.

What is the total number of shirts in the box?

• 12

• 14

• 10

• 8

How many white shirts are there in the box?

• 2

• 5

• 4

• 3

What is the probability of picking a black shirt?

• 1/2

• 1/5

• 1/4

• 1/3

When calculating the probability of picking a white or black shirt, what is the final probability?

• 4/5

• 2/5

• 3/5

• 1/2

What is the probability of picking a shirt with pockets?

• 4/5

• 1/2

• 2/5

• 3/5

How many shirts have pockets?

• 6

• 7

• 5

• 4

What is the overlap when calculating the probability of picking a white shirt or a shirt with pockets?

• 4/5

• 1/5

• 2/5

• 3/5

What is the final probability of picking a white shirt or a shirt with pockets after adjusting for overlap?

• 2/5

• 4/5

• 3/5

• 1/2

How many yellow shirts have pockets?

• 1

• 4

• 2

• 3

What is the probability of picking a red shirt?

• 1/4

• 1/5

• 1/2

• 1/3