Conditional Probability and Independence

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

Are choices A and B independent?

• Yes

• No

• because P(A) = P(A|B)

• because P(A) ≠ P(A|B)

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.

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

P(A∩B)=

If there are 3 red sections, 4 blue sections, and 1 green section on a spinner, then...

P(Green | Blue) =

Round your answer to 3 decimal spaces as necessary.

If there are 3 red sections, 4 blue sections, and 1 green section on a spinner, then... Are the event green and blue independent? Select an answer and a justification.

• Yes

• No

• because P(A) = P(A|B)

• because P(A) ≠ P(A|B)

If there are 3 red sections, 4 blue sections, and 1 green section on a spinner, then...

P(Red) =

Round your answer to 3 decimal spaces as necessary.

If there are 3 red sections, 4 blue sections, and 1 green section on a spinner, then...

P(Red ∩ Green) =

Round your answer to 3 decimal spaces as necessary.

If there are 3 red sections, 4 blue sections, and 1 green section on a spinner, then...

P(Blue ∩ Red) =

Round your answer to 3 decimal spaces as necessary.