Topics 4.5 and 4.6 - Probability (IB Applic. and Interpret. SL)

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

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

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

Tags

CCSS.HSS.CP.B.7

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

Tags

CCSS.HSS.CP.B.7

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 that neither Tom or Jerry scores?

• .34
• .41
• .54
• .75

Thomas and Will are playing a game of tennis.  The probability of Thomas serving an ace during a match is 0.6.  The probability of Will serving an ace during a match is 0.55.  What is the probability that both Thomas and Will serve aces during a match?

• 1.15
• .275
• .875
• .33

Thomas and Will are playing a game of tennis.  The probability of Thomas serving an ace during a match is 0.6.  The probability of Will serving an ace during a match is 0.55.  What is the probability that neither Thomas nor Will serve aces during a match?

• 0.33
• 0.67
• .82
• .18