Exploring Conditional Probability with Venn Diagrams and Contingency Tables

This video tutorial introduces the concept of conditional probability, explaining it through examples involving dice, students, and birds. It covers the basic formula for calculating conditional probability and demonstrates its application in various scenarios. The tutorial aims to simplify the understanding of conditional probability by breaking down complex problems into manageable steps.

What does P(A|B) represent in conditional probability?

• The probability of A or B occurring

• The probability of A and B occurring together

• The probability of A occurring after B has occurred

• The probability of B occurring if A has already occurred

If event A is rolling an odd number on a die, what is the sample space for A?

• All numbers from 1 to 6

• 1, 3, 5

• 2, 4, 6

• 1, 2, 3

In the school scenario, what is the probability of a student taking algebra?

• 50%

• 30%

• 20%

• 15%

What is the probability of a student taking chemistry given they are already taking algebra?

• 30%

• 10%

• 20%

• 40%

How many students are taking both algebra and chemistry?

• 500 students

• 30 students

• 80 students

• 150 students

What is the total number of birds in the zoo?

• 400 birds

• 300 birds

• 200 birds

• 100 birds

What is the probability of selecting a female bird at random?

• 25%

• 35%

• 45%

• 55%

What is the probability of a bird being male given it has blue eyes?

• 25%

• 50%

• 66.7%

• 33.3%

How many birds are male with brown eyes?

• 10 birds

• 20 birds

• 100 birds

• 70 birds

What is the probability of a bird having blue eyes given it is female?

• 50%

• 30%

• 20%

• 9.1%