# Probability Quiz: Dependent Events

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| By Bheaton1
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Bheaton1
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Quizzes Created: 2 | Total Attempts: 6,854
Questions: 10 | Attempts: 1,887  Settings  Students will find the probability of dependent events. MM1D2b

• 1.

### There are 6 red, 4 green, 5 blue and 5 yellow marbles in a jar.  What is the probability of picking a green marble, then a blue marble if you do not put back the first marble?

• A.

1/20

• B.

1/19

• C.

9/20

• D.

9/40

B. 1/19
Explanation
Find the probability of picking green (4/20), then find the probability of picking blue (5/19). Remember there is one less marble in the jar.
Finally multiply the probabilities and reduce to get 1/19

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• 2.

### There are 6 red, 4 green, 5 blue and 5 yellow marbles in a jar.  What is the probability of picking a green marble, then a green marble if you do not put back the first marble?

• A.

3/95

• B.

4/95

• C.

7/20

• D.

1/25

A. 3/95
Explanation
Find the probability of picking green (4/20), then find the probability of picking green again (3/19). Remember there is one less marble in the jar and that you assume the marble picked was green.
Finally multiply the probabilities and reduce to get 3/95

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• 3.

### From a standard deck of playing cards, you pick a card and without returning the card you pick a second card.  What is the probability that you picked a spade and then a heart?

• A.

1/16

• B.

1/2

• C.

13/2704

• D.

13/204

D. 13/204
Explanation
Find the probability of picking a spade (13/52 or 1/4), then find the probability of picking a heart (13/51). Remember there is one less card.
Multiply the probabilities and reduce to get: 13/204

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• 4.

### From a standard deck of playing cards, you pick a card and without returning the card you pick a second card.  What is the probability that you picked a 10 and then a face card (king, queen or jack)?

• A.

3/169

• B.

12/663

• C.

2/13

• D.

1/221

B. 12/663
Explanation
Find the probability of picking a 10 (4/52 or 1/13), then find the probability of picking a face card (12/51). Remember there is one less card.
Multiply the probabilities and reduce to get: 12/663

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• 5.

### A teacher has a box of crayons that contains 6 red, 6 blue, 6 green and 6 purple crayons.  Haily picks a crayon out of the box, then without putting that crayon back she picks a second crayon.  What is the probability that the first crayon is purple and the second crayon is purple?

• A.

1/16

• B.

11/47

• C.

5/92

• D.

3/46

C. 5/92
Explanation
First find the probability of picking a purple crayon (6/24 or 1/4), then find the probability that the second crayon is also purple (5/23). Both the numberator and denominator change because we are picking the same color and not returning the first crayon.
Multiply the probabilities together to get: 5/92 reduced

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• 6.

### A teacher has a box of crayons that contains 6 red, 6 blue, 6 green and 6 purple crayons.  Haily picks a crayon out of the box, then without putting that crayon back she picks a second crayon.  What is the probability that the first crayon is red and the second crayon is green?

• A.

1/16

• B.

11/47

• C.

5/92

• D.

3/46

D. 3/46
Explanation
First find the probability of picking a red crayon (6/24 or 1/4), then find the probability that the second crayon is green (6/23).
Multiply the probabilities together to get: 3/46 reduced

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• 7.

### On a math test, 5 out of 30 students got an A. If three students are chosen at random without replacement, what is the probability that all three got an A on the test?

• A.

1/406

• B.

1/216

• C.

1/4

• D.

125/24360

A. 1/406
Explanation
First find the probability of picking an A student (5/30 or 1/6), then find the probability of the second A student (4/29) and finally the third A student (3/28)
Multiply the probabilities together and reduce to get: 1/406

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• 8.

### On a math test, 5 out of 30 students got an A. If two students are chosen at random without replacement, what is the probability that the first student did NOT get an A and the second student got an A on the test?

• A.

5/36

• B.

2/87

• C.

1/36

• D.

25/174

D. 25/174
Explanation
First find the probability of picking NOT an A student (25/30 or 5/6), then find the probability of the second student is an A student (5/29)
Multiply the probabilities together and reduce to get: 25/174

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• 9.

### All the letters of the alphabet are written on a piece of paper and placed in bag.  A student draws out a letter without putting back the letter they draw a second letter.  What is the probability of picking a vowel and then the letter B?

1/130
5/650
Explanation
Probability of picking a vowel (5/26), Probability of picking the letter B (1/25)
Multiply the probabilities then reduce to get: (1/130)

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• 10.

### From a standard deck of cards, you draw two cards without replacement.  What is the probability you drew a 6 and then an ace?

4/663
16/2652
Explanation
The probability you pick a is 4/52, the probability you then pick an ace is 4/51
Multiply the probabilities and reduce to get: 4/663

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