Unit 8 CFA 3 Review

Event A: dice lands on 5

Event B: coin lands on heads

What does the notation P(A | B) mean?

• The probability of the dice landing on a 5 under the condition the coin landed on heads

• landing on heads under the condition landing on 5

• landing on heads 5 times

• landing on a 5 divided by landing on heads

Find P(heart | queen)

• 1/4

• 1/13

• 4/13

• 1/52

Find P(ace | club)

• 1/4

• 1/13

• 4/13

• 1/52

If A and B are INDEPENDENT events, What is true about P(A | B) and P(A) ?

• They are EQUAL!

• They are different

Use the Multiplication Rule: P(A and B) = P(A | B) • P(B)

5 purple, 3 green, 2 pink - You draw 1 out then draw a 2nd without replacing

Find P(both green)

Use the Multiplication Rule: P(A and B) = P(A | B) • P(B)

5 purple, 3 green, 2 pink - You draw 1 out then draw a 2nd without replacing

Find P(both purple)

Use the Multiplication Rule: P(A and B) = P(A | B) • P(B)

5 purple, 3 green, 2 pink - You draw 1 out then draw a 2nd without replacing

Find P(2nd pink AND 1st green)

Use the Multiplication Rule: P(A and B) = P(A | B) • P(B)

5 purple, 3 green, 2 pink - You draw 1 out then draw a 2nd without replacing

Find P(2nd green AND 1st purple)

If A and B are INDEPENDENT events, What is true about P(A | B) and P(A) ?

• They are EQUAL!

• They are different

Find P(AB)

• 0.04

• 0.034

• 0.006