# Probability of Dependent Events (Grades 11-12)

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## Probability of Dependent Events

1.

The best definition for dependent events is

- a letter that represents a number.
- what you look for in a probability experiment.
- when one result does not affect another.
- when the first outcome affects the next one.

2.

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

- Rolling a die three times.
- Picking two cards from a deck of cards, one at a time, without replacement.
- Rolling two dice, one after the other.
- Picking three cards from a deck of cards, one at a time, with replacement.

3.

If there are 20 marbles in a bag with 5 red, 10 green, 2 blue, and 3 yellow, what is the probability of pulling a green marble from the bag, then pulling a yellow marble from the bag?

- 13/20
- 3/19
- 30/39 = 10/13
- 30/380 = 3/38

4.

A deck of cards has 52 cards, half are black and half are red. What is the probability you randomly select 3 cards without replacement and pick a red card, then 2 black cards in that order?

- [math]1/8[/math]
- [math]13/102[/math]
- [math]1/3[/math]
- [math]3/52[/math]
- none of these are correct

5.

If there are 20 marbles in a bag with 5 red, 10 green, 2 blue, and 3 yellow, what is the probability of pulling 2 blue marbles in a row?

- 2/380 = 1/190
- 2/20 = 1/10
- 4/380 = 1/95
- 3/20

6.

What is the probability of choosing two aces, one after the other without replacement, from a standard deck of cards?

- [math] 1/26 [/math]
- [math]1/169[/math]
- [math]1/221[/math]
- [math]3/676[/math]

7.

A bag of marbles contains 5 red, 4 blue, and 3 green marbles. If you randomly select marbles without replacement, what is the probability you get a red marble on the first choice, and a green on the second choice?

- [math]7/22[/math]
- [math]5/44[/math]
- [math]4/9[/math]
- [math]9/31[/math]
- none of these are correct

8.

A bag is filled with 3 black marbles, 5 red, and 9 orange. What is the probability of choosing an orange marble followed by a red one, if the orange marble is NOT replaced after the first draw?

- 0.529
- 0.294
- 0.165
- 0.156
- 0.442

9.

If you are asked to choose 3 cards at random from a standard deck of cards, taking one at time and keeping each one, what is the probability of choosing three red cards in a row?

- [math]1/8[/math]
- [math]75/676[/math]
- [math]3/52[/math]
- [math]2/17[/math]

10.

If there are 20 marbles in a bag with 5 red, 10 green, 2 blue, and 3 yellow, what is the probability of pulling a red marble followed by a green marble followed by a blue marble?

- 17/6840
- 5/342
- 1/80
- .66%

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