Probability Quiz: Dependent Events

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| By Bheaton1

Bheaton1

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Quizzes Created: 2 | Total Attempts: 7,493

| Attempts: 2,014

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1/10 Questions

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?
- 1/20
- 1/19
- 9/20
- 9/40

About This Quiz

Students will find the probability of dependent events. MM1D2b

$Probability Quiz: Dependent Events - Quiz$

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?
- 3/95
- 4/95
- 7/20
- 1/25
Correct Answer

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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2
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?
- 1/16
- 1/2
- 13/2704
- 13/204
Correct Answer

A. 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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1
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)?
- 3/169
- 12/663
- 2/13
- 1/221
Correct Answer

A. 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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0
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?
- 1/16
- 11/47
- 5/92
- 3/46
Correct Answer

A. 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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2
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?
- 1/16
- 11/47
- 5/92
- 3/46
Correct Answer

A. 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?
- 1/406
- 1/216
- 1/4
- 125/24360
Correct Answer

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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2
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?
- 5/36
- 2/87
- 1/36
- 25/174
Correct Answer

A. 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?

Correct Answer
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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1
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?

Correct Answer
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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1

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Jul 08, 2024

Quiz Edited by
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Oct 02, 2011

Quiz Created by
Bheaton1

Probability Quiz: Dependent Events

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?

Quiz Preview

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?

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?

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 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 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?

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?

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?

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?

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