# 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

- independent.
- not independent.
- 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

- independent.
- not independent.
- 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

- independent.
- not independent.
- 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?

- Yes, they are independent.
- No, they are not independent.
- 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?

- Yes, they are independent.
- No, they are not independent.
- 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?

- .0392
- .57
- .41
- .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?

- .0585
- .585
- [math]585/10000[/math]
- [math].585/10[/math]

8.

P(A) = 0.05 and P(B) = 0.03. What value of P(A and B) would show that the events are independent?

- .015
- .0015
- .0005
- .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?

- .075
- .26
- .06
- .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.

- 0.6
- 0.0375
- 0.67
- 0.25

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