Probability Quiz: Dependent Events

Approved & Edited by ProProfs Editorial Team

The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.

Learn about Our Editorial Process

| By Bheaton1

Bheaton1

Community Contributor

Quizzes Created: 2 | Total Attempts: 7,371

Questions: 10 | Attempts: 1,997 | Updated: Jul 8, 2024

Questions

Settings

Feedback

During the Quiz End of Quiz

Difficulty

Sequential Easy First Hard First

Play as

Quiz Flashcard

Create your own Quiz

Share on Facebook Share on Twitter Share on Whatsapp Share on Pinterest Share on Email Copy to Clipboard Embed on your website

$Probability Quiz: Dependent Events - Quiz$

Students will find the probability of dependent events. MM1D2b

Questions and Answers

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
Correct Answer
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

Rate this question:
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
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

Rate this question:

2
0
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
Correct Answer
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

Rate this question:

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

Rate this question:

0
1
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
Correct Answer
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

Rate this question:

2
0
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
Correct Answer
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

Rate this question:
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
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

Rate this question:

2
0
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
Correct Answer
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

Rate this question:
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)

Rate this question:

1
4 0
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

Rate this question:

1
4 2

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

Current Version
Jul 08, 2024

Quiz Edited by
ProProfs Editorial Team
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?

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?