Independent And Dependent Events Day 2

Approved & Edited by ProProfs Editorial Team

At ProProfs Quizzes, our dedicated in-house team of experts takes pride in their work. With a sharp eye for detail, they meticulously review each quiz. This ensures that every quiz, taken by over 100 million users, meets our standards of accuracy, clarity, and engagement.

Learn about Our Editorial Process

| Written by Etjersland

Etjersland

Community Contributor

Quizzes Created: 3 | Total Attempts: 6,225

Questions: 5 | Attempts: 576 | Updated: Mar 21, 2023

Settings

Create your own Quiz

Answer multiple choice questions based on independent and dependent events.

Questions and Answers

1.

In a class of 12 boys and 14 girls, Find P(Boy then boy without replacement)
- A.
  
  66/325
- B.
  
  17/38
- C.
  
  36/169
- D.
  
  4/13
Correct Answer
A. 66/325

Explanation
The probability of selecting a boy on the first draw is 12/26. After the first boy is selected, there are 11 boys left out of a total of 25 students. Therefore, the probability of selecting another boy on the second draw without replacement is 11/25. Multiplying these probabilities together gives (12/26) * (11/25) = 132/650, which simplifies to 66/325.

Rate this question:

1
0
2.

In a class of 12 boys and 14 girls, Find P(Girl then boy with replacement)
- A.
  
  1/2
- B.
  
  42/169
- C.
  
  77/325
- D.
  
  49/169
Correct Answer
B. 42/169

Explanation
The probability of selecting a girl and then a boy with replacement can be found by multiplying the probability of selecting a girl (14/26) by the probability of selecting a boy (12/26). This can be simplified to (14/26) * (12/26) = 168/676 = 42/169.

Rate this question:
3.

Using a standard deck of 52 cards, Find P(King then King without replacement)
- A.
  
  1/169
- B.
  
  4/663
- C.
  
  5/663
- D.
  
  1/221
Correct Answer
D. 1/221

Explanation
The probability of drawing a King from a standard deck of 52 cards is 4/52 since there are 4 Kings in the deck. After drawing the first King, there are only 51 cards left in the deck, and 3 Kings remaining. Therefore, the probability of drawing another King without replacement is 3/51. To find the probability of both events happening, we multiply the probabilities together: (4/52) * (3/51) = 1/221.

Rate this question:
4.

Using a standard deck of 52 cards, Find P(Ace then Jack with replacement)
- A.
  
  2/169
- B.
  
  1/13
- C.
  
  1/169
- D.
  
  4/663
Correct Answer
C. 1/169

Explanation
The probability of drawing an Ace from a standard deck of 52 cards is 4/52, since there are 4 Aces in the deck. After replacing the card, the probability of drawing a Jack is also 4/52. To find the probability of both events happening, we multiply the probabilities together: (4/52) * (4/52) = 16/2704 = 1/169. Therefore, the correct answer is 1/169.

Rate this question:
5.

If you roll a standard die and flip a coin, find P(5 then a tail)
- A.
  
  1/12
- B.
  
  5/12
- C.
  
  1/4
- D.
  
  1/8
Correct Answer
A. 1/12

Explanation
The probability of rolling a 5 on a standard die is 1/6, and the probability of flipping a tail on a coin is 1/2. Since the events of rolling a 5 and flipping a tail are independent, we can multiply the probabilities together to find the probability of both events occurring. Therefore, the probability of rolling a 5 and then flipping a tail is (1/6) * (1/2) = 1/12.

Rate this question:

Independent And Dependent Events Day 2

In a class of 12 boys and 14 girls, Find P(Boy then boy without replacement)

In a class of 12 boys and 14 girls, Find P(Girl then boy with replacement)

Using a standard deck of 52 cards, Find P(King then King without replacement)

Using a standard deck of 52 cards, Find P(Ace then Jack with replacement)

If you roll a standard die and flip a coin, find P(5 then a tail)