# Probability of Independent Events (Grade 10)

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## Probability of Independent Events

1.

The best definition for independent events is

- the chance something will happen.
- the outcome of one event does not affect the outcome of another.
- the outcome of one event does affect the outcome of another.
- an arrangement of objects in a certain order.

2.

Which of the following are independent events? There may be more than one correct answer.

- Rolling two dice.
- Picking three cards from a deck of cards, one at a time, keeping each one.
- Tossing a coin three times.
- Rolling one die, two times.

3.

If you flip a coin 4 times, what is the probability you get heads, heads, tails, heads in that order?

- [math]1/8[/math]
- [math]1/2[/math]
- [math]1/16[/math]
- [math]1/32[/math]
- none of these are correct

4.

If you use the spinner two times in a row, what is the probability that you will spin a C followed by landing on E?

- 1/5
- 2/5
- 1/25
- 2/25

5.

In a paper bag, 6 of the 18 marbles are blue. In a cloth bag, 1 of the 18 marbles is blue. If Stanley chooses one marble from each bag at random, what is the probability he will choose a blue marble from the paper bag and a blue marble from the cloth bag?

- [math]1/54[/math]
- [math]7/36[/math]
- [math]6/18[/math]
- [math]7/18[/math]

6.

A girl wants to win a prize for shooting 9 baskets in a row from the free throw line. The probability of her making a shot is 0.2. What is the probability that she will make 9 shots in a row?

- [math]0.2xx10^-9[/math]
- [math]1.8[/math]
- [math]5.1xx10^-7[/math]
- [math]7.2xx10^-1[/math]

7.

If a six-sided die is rolled and then a quarter is flipped, what is the probability of getting an even number and tails?

- [math]1/4[/math]
- [math]1/6[/math]
- [math]1/2[/math]
- [math]1/8[/math]

8.

The probability of flipping a head on a fair coin is 0.5. What is the probability that you will flip 12 heads in a row?

- [math]2.4xx10^-4[/math]
- [math]6.0[/math]
- [math]1.6xx10^-7[/math]
- [math]0.5xx10^-12[/math]

9.

You have a bag of 4 blue marbles, 6 red marbles, and 5 yellow marbles. What is the probability of choosing a blue marble and then a red marble, if you replace the first marble before choosing the second marble?

- [math]4/35[/math]
- [math]8/75[/math]
- [math]2/15[/math]
- [math]9/15[/math]

10.

The lock on my luggage has a 4-digit combination. Each digit can be 1-5. If you only have one chance, what is the probability that you guess the correct combination? (Round your answer to 2 decimal places.)

- 0.16%
- 0.83%
- 5.67%
- 2.35%
- none of these are correct

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