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?
Topics 4.5 and 4.6 - Probability (IB Applic. and Interpret. SL)
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Topics 4.5 and 4.6 - Probability (IB Applic. and Interpret. SL)
Quiz
•
Kelly Krapf
•
Mathematics
•
8th - 11th Grade
•
53 plays
•
Hard
16 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Yes
No
Can't tell from information given
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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).
Find P(A ∩ B).
0.45
0.54
.2706
0.99
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The events A and B are mutually exclusive.P(A) = 0.57 and P(B) = 0.26.
Find P(A ∪ B).
Find P(A ∪ B).
.31
.1482
.6818
.83
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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.
Calculate the probability Gemma passes in exactly two attempts.
0.85
.2975
.0525
.9475
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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
8.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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
9.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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
10.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
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
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