Probability Intersections, Union and Complement and Conditional Probability

P(A) = 0.7

P(B) = 0.5

P(A∩B) = 0.2

Find P(A|B)...

• ²/₇

• ²/₅

• ⁵/₇

• ¹/₆

P(A) = 0.7

P(B) = 0.5

P(A∩B) = 0.2

Find P(B|A)...

• ²/₇

• ²/₅

• ⁵/₇

• ¹/₆

P(A) = 0.8

P(B) = 0.6

P(A∩B) = 0.3

Find P(A|B)...

• 0.5

• 0.375

• 0.75

• 0.25

P(A) = 0.8

P(B) = 0.6

P(A∩B) = 0.3

Find P(B|A)...

• 0.5

• 0.375

• 0.75

• 0.25

P(A) = ²/₅

P(B) = ³/₄

P(A∩B) = ¹/₁₀

Find P(B|A)...

• ¹/₄

• ²/₁₅

• ³/₁₀

• ²/₂₃

P(A) = ²/₅

P(B) = ³/₄

P(A∩B) = ¹/₁₀

Find P(A|B)...

• ¹/₄

• ²/₁₅

• ³/₁₀

• ²/₂₃

P(A) = 0.7

P(B) = 0.5

P(A∩B) = 0.2

Find P(A∩B')...

• 0.3

• 0.5

• 1

• 0

P(A) = 0.6

P(B) = 0.4

P(A∩B) = 0.3

Find P(A'∩B)...

• 0.7

• 0.3

• 0.1

• 1

Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies? 

• 27/40
• 1.48
• .008
• .0593

What is the probability that a student does play a sport given they do not play an instrument? 

• .2
• .2222
• .10
• .5