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This printable supports Common Core Mathematics Standard HSS-CP.A.2

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Understanding Conditions For Independent Events (Grade 10)

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Understanding Conditions For Independent Events

1.
P(A) = 0.2 that the Sun will shine today. P(B) = 0.002 that you will get 100% on your math test today. P(A and B) = 0.04. The two events are
1. independent.
2. not independent.
3. there is not enough information.
2.
P(A) = 0.3 that I have a sandwich in my lunch. P(B) = 0.8 that the sandwich does not contain nuts. The two events are
1. independent.
2. not independent.
3. there is not enough information.
3.
P(A) = 0.4 that it will rain today. P(B) = 0.2 that you will get your allowance today. P(A and B) = 0.08. The two events are
1. independent.
2. not independent.
3. there is not enough information.
4.
Chloe is driving through a city she has never been to before. The probability that she passes a coffee shop is 76%. The probability that she passes a post office is 15%. If the probability is about 11% that she passes both a coffee shop and a post office, are these independent events?
1. Yes, they are independent.
2. No, they are not independent.
3. There is not enough information.
5.
The probability that Jordan will go to see a movie is 70%. The probability that he will eat dinner out at a restaurant is 45%. If the probability is 64% that he will both go out to a movie and eat out at a restaurant, are these events independent?
1. Yes, they are independent.
2. No, they are not independent.
3. There is not enough information.
6.
P(A) = 0.08 and P(B) = 0.49. What value of P(A and B) would show that the events are independent?
1. .0392
2. .57
3. .41
4. .392
7.
P(A) = 0.15 and P(B) = 0.39. What value of P(A and B) would show that the events are dependent?
1. .0585
2. .585
3. $585/10000$
4. $.585/10$
8.
P(A) = 0.05 and P(B) = 0.03. What value of P(A and B) would show that the events are independent?
1. .015
2. .0015
3. .0005
4. .15
9.
P(A) = 0.02 and P(B) = 0.13. What value of P(A and B) would show that the events are independent?
1. .075
2. .26
3. .06
4. .0026
10.
In an experiment, there are two dependent events, A and B. If P(A) = 0.25 and P(A and B) = 0.15, what is the possible value of P(B)? Choose all correct answers.
1. 0.6
2. 0.0375
3. 0.67
4. 0.25
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