Understanding Conditional Probability with Venn Diagrams

The video tutorial explains how to calculate probabilities using a Venn diagram. It covers the probabilities of events A and B, their intersection, and the conditional probability of B given not A. The tutorial demonstrates how to simplify probabilities and convert them into fractions, decimals, and percentages, emphasizing the importance of exact fractional probabilities over approximations.

What is the probability of event A occurring?

• 0.40

• 0.15

• 0.35

• 0.25

In the Venn diagram, what is the probability of only event A occurring?

• 0.10

• 0.25

• 0.35

• 0.15

What is the probability of being in the universal set but not in A or B?

• 0.15

• 0.35

• 0.65

• 0.50

Which region represents not A and B in the Venn diagram?

• A and B

• Only B

• Not A and not B

• Only A

How do you calculate the probability of B given not A?

• Probability of not A and B divided by probability of not A

• Probability of A and B divided by probability of A

• Probability of B divided by probability of A

• Probability of A divided by probability of B

What is the simplified fractional form of the probability of B given not A?

• 1/5

• 15/65

• 3/13

• 2/13

What is the decimal form of the probability of B given not A?

• 0.1500

• 0.2308

• 0.4000

• 0.3500

What is the percentage form of the probability of B given not A?

• 35.00%

• 23.08%

• 15.00%

• 40.00%

Why is the fractional form of probability considered exact?

• Because it is easier to calculate

• Because it does not involve rounding

• Because it is a whole number

• Because it is a percentage

What should be entered for homework regarding probability?

• Decimal form

• Percentage form

• Fractional form

• All forms