Free Printable The Probability of Multiple Events

1.

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

a)

Yes

b)

No

c)

Can't tell from information given

2.

For the two events A and B,

P(A) = 0.33, and P(B) = 0.82.

If P(A and B) = 0.61, find P(A OR B).

a)

0.45

b)

0.54

c)

.2706

d)

0.99

3.

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

Find P(A or B).

a)

.31

b)

.1482

c)

.6818

d)

.83

4.

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.

a)

0.85

b)

.2975

c)

.0525

d)

.9475

5.

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.

a)

.85

b)

.2975

c)

.0525

d)

.9475

6.

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?

a)

.12

b)

.32

c)

.08

d)

.48

7.

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?

a)

.48

b)

.3

c)

.66

d)

.75

8.

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 nor Jerry score?

a)

.34

b)

.41

c)

.54

d)

.75

9.

Thomas and Will are both on the tennis team. The probability of Thomas serving an ace is 0.6. The probability of Will serving an ace is 0.55. What is the probability that both Thomas and Will serve aces?

a)

1.15

b)

.275

c)

.875

d)

.33

10.

Thomas and Will are both on the tennis team. The probability of Thomas serving an ace is 0.6. The probability of Will serving an ace is 0.55. What is the probability that both Thomas and Will serve aces do NOT get an ace?

a)

0.33

b)

0.67

c)

.82

d)

.18

11.

Thomas and Will are playing a game of tennis. The probability of Thomas serving an ace is 0.6. The probability of Will serving an ace is 0.55. What is the probability that at least one of them serves an ace?

a)

0.33

b)

0.67

c)

.82

d)

.18

12.

Jason plays soccer. He plays either in midfield or as a striker. The probability of playing in midfield is 0.3. When he plays in midfield, the probability of him scoring is 0.6. When he plays as a striker, the probability of him scoring is 0.9. If Jason plays one match, what is the probability of him scoring as a midfielder?

a)

0.9

b)

.18

c)

.81

d)

.63

13.

Jason plays soccer. He plays either in midfield or as a striker. The probability of playing in midfield is 0.3. When he plays in midfield, the probability of him scoring is 0.6. When he plays as a striker, the probability of him scoring is 0.9. If Jason plays one match, what is the probability of him scoring?

a)

0.9

b)

.18

c)

.81

d)

.63

14.

Jason plays soccer. He plays either in midfield or as a striker. The probability of playing in midfield is 0.3. When he plays in midfield, the probability of him scoring is 0.6. When he plays as a striker, the probability of him scoring is 0.9. If Jason plays one match, what is the probability of him not scoring?

a)

.07

b)

.19

c)

.81

d)

.63

15.

Jason plays soccer. He plays either in midfield or as a striker. The probability of playing in midfield is 0.3. When he plays in midfield, the probability of him scoring is 0.6. When he plays as a striker, the probability of him scoring is 0.9. If Jason plays one match, what is the probability of him playing striker and not scoring?

a)

.07

b)

.18

c)

.81

d)

.63

16.

Julius takes two penalty kicks in a game of rugby. For each kick the probability of scoring is equal to 0.85. Find the probability of him missing both kicks.

a)

.7225

b)

.0625

c)

.0225

d)

.3

17.

Julius takes two penalty kicks in a game of rugby. For each kick the probability of scoring is equal to 0.85. Find the probability of him scoring only once.

a)

.225

b)

.0625

c)

.0225

d)

.3

18.

Julius takes two penalty kicks in a game of rugby. For each kick the probability of scoring is equal to 0.85. Find the probability of him missing no more than once.

a)

.0625

b)

.9375

c)

.0225

d)

.9775

The Probability of Multiple Events

Total questions: 18

Worksheet time: 4hrs 0mins

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