IB Applications Probability

For the two events A and B, P(A ∪ B) = 0.61, P(A) = 0.33, and P(B) = 0.82.  Using only this information, are the events A and B mutually exclusive?

• Yes
• No
• Can't tell from information given

For the two events A and B, P(A ∪ B) = 0.61, P(A) = 0.33, and P(B) = 0.82.
Find P(A ∩ B).

• 0.45
• 0.54
• .2706
• 0.99

The events A and B are mutually exclusive.P(A) = 0.57 and P(B) = 0.26.
Find P(A ∪ B).

• .31
• .1482
• .6818
• .83

Gemma is ready for her driving test.  The probability of her passing the first time is 0.65.  If she fails her first test, the probability of her passing on the second attempt is 0.85.
Calculate the probability Gemma passes in exactly two attempts.

• 0.85
• .2975
• .0525
• .9475

Gemma is ready for her driving test. The probability of her passing the first time is 0.65. If she fails her first test, the probability of her passing on the second attempt is 0.85.

Find the probability that Gemma passes within two attempts.

• .85

• .2975

• .0525

• .9475

Tom and Jerry play for the same hockey team.  The manager always selects either Tom or Jerry for the team.  The probability of Tom being selected is 0.6.  If he is selected, the probability of Tom scoring is 0.8.  The probability of Jerry scoring is 0.45.  What is the probability that Tom plays and scores?

• .12
• .32
• .08
• .48

Tom and Jerry play for the same hockey team.  The manager always selects either Tom or Jerry for the team.  The probability of Tom being selected is 0.6.  If he is selected, the probability of Tom scoring is 0.8.  The probability of Jerry scoring is 0.45.  What is the probability of either Tom or Jerry scores?

• .48
• .3
• .66
• .75

Tom and Jerry play for the same hockey team.  The manager always selects either Tom or Jerry for the team.  The probability of Tom being selected is 0.6.  If he is selected, the probability of Tom scoring is 0.8.  The probability of Jerry scoring is 0.45.  What is the probability of either Tom or Jerry scores?

• .34
• .41
• .54
• .75

Kofi and Kojo are playing a game of tennis.  The probability of Kofi serving an ace is 0.6.  The probability of Kojo serving an ace is 0.55.  What is the probability that both Kofi and Kojo serve aces?

• 1.15
• .275
• .875
• .33

Kofi and Kojo are playing a game of tennis.  The probability of Kofi serving an ace is 0.6.  The probability of Kojo serving an ace is 0.55.  What is the probability that neither Kofi and Kojo serve aces?

• 0.33
• 0.67
• .82
• .18