Understanding Conditional Probability

The video tutorial explains how to calculate conditional probabilities using given probabilities and a Venn diagram. It defines conditional probability, demonstrates the calculation process, and shows how to represent the result as a fraction, decimal, and percentage. The tutorial emphasizes understanding the formula through visualization with a Venn diagram.

What is the probability of event A occurring?

• 0.41

• 0.05

• 0.54

• 0.36

Which of the following represents the probability of both A and B occurring?

• 0.54

• 0.41

• 0.05

• 0.36

What is the formula for conditional probability of B given A?

• P(B) / P(A and B)

• P(B and A) / P(A)

• P(A) / P(B)

• P(A and B) / P(B)

In a Venn diagram, what does the intersection of A and B represent?

• Probability of neither A nor B

• Probability of A only

• Probability of B only

• Probability of both A and B

How do you calculate the probability of only A using the Venn diagram?

• Divide P(A) by P(B)

• Add P(A and B) to P(A)

• Subtract P(A and B) from P(A)

• Multiply P(A) by P(B)

What is the probability of only B occurring?

• 0.54

• 0.41

• 0.05

• 0.36

How is the probability of B given A calculated using the Venn diagram?

• P(B) divided by P(A)

• P(A and B) divided by P(A)

• P(A) divided by P(B)

• P(B) divided by P(A and B)

What is the exact probability of B given A as a fraction?

• 2/3

• 3/4

• 1/2

• 5/54

What is the decimal representation of the probability of B given A?

• 0.0926

• 0.9260

• 0.00926

• 0.926

What is the percentage representation of the probability of B given A?

• 92.6%

• 9.26%

• 0.926%

• 0.0926%