Venn Diagrams, Independence, and Conditional Probability

What is P(A)? Round to three decimal places if necessary written as 0.123.

What is P(B)? Round to three decimal places if necessary written as 0.123.

What is P(A∩B)? Round to three decimal places if necessary written as 0.123.

What is P(AUB)? Round to three decimal places if necessary written as 0.123.

What is P(A|B)? Round to three decimal places if necessary written as 0.123.

Are the events A and B independent. Select a response and a reason.

• Yes

• No

• because P(A) = P(A|B)

• because P(A) ≠ P(A|B)

If in a random survey of 40 people,17 select option A, 24 select option B, and 13 select option B only, then...

How many people chose both options?

If in a random survey of 40 people,17 select option A, 24 select option B, and 13 select option B only, then...

How many people chose only A?

If in a random survey of 40 people,17 select option A, 24 select option B, and 13 select option B only, then...

How many people chose neither?

If in a random survey of 40 people,17 select option A, 24 select option B, and 13 select option B only, then...

P(AUB)=