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Probability of Dependent Events (Grades 11-12)

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Probability of Dependent Events

1. 
The best definition for dependent events is
  1. a letter that represents a number.
  2. what you look for in a probability experiment.
  3. when one result does not affect another.
  4. when the first outcome affects the next one.
2. 
Which of the following are dependent events? There may be more than one correct answer.
  1. Rolling a die three times.
  2. Picking two cards from a deck of cards, one at a time, without replacement.
  3. Rolling two dice, one after the other.
  4. 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?
  1. 13/20
  2. 3/19
  3. 30/39 = 10/13
  4. 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?
  1. [math]1/8[/math]
  2. [math]13/102[/math]
  3. [math]1/3[/math]
  4. [math]3/52[/math]
  5. 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?
  1. 2/380 = 1/190
  2. 2/20 = 1/10
  3. 4/380 = 1/95
  4. 3/20
6. 
What is the probability of choosing two aces, one after the other without replacement, from a standard deck of cards?
  1. [math] 1/26 [/math]
  2. [math]1/169[/math]
  3. [math]1/221[/math]
  4. [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?
  1. [math]7/22[/math]
  2. [math]5/44[/math]
  3. [math]4/9[/math]
  4. [math]9/31[/math]
  5. 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?
  1. 0.529
  2. 0.294
  3. 0.165
  4. 0.156
  5. 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?
  1. [math]1/8[/math]
  2. [math]75/676[/math]
  3. [math]3/52[/math]
  4. [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?
  1. 17/6840
  2. 5/342
  3. 1/80
  4. .66%
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