Probability

Q1.If P(A) = 0.42, P(B) = 0.48, and P(A ∩ B) = 0.16, then P(A ∪ B) is:

• A0.90
• B0.74
• C1.06
• D0.58

Q2.A committee of two persons is selected from 2 men and 2 women. What is the probability that the committee has exactly one man?

• A1/6
• B1/3
• C2/3
• D1/2

Q3.Events E and F are such that P(E) = 1/4, P(F) = 1/2, and P(E ∩ F) = 1/8. Find P(E ∪ F).

• A5/8
• B3/4
• C7/8
• D1/2

Q4.In a sample space S = {ω1, ω2, ω3, ω4, ω5, ω6}, if each outcome has equal probability, what is P(ω3)?

• A1/3
• B1/4
• C1/6
• D1/2

Q5.A box has 10 red, 20 blue, and 30 green marbles. 5 are drawn at random. What is the probability that at least 1 is green?

• A1 - C(30,5)/C(60,5)
• BC(30,5)/C(60,5)
• C1 - C(30,1)/C(60,5)
• DC(30,1) × C(30,4) / C(60,5)