Probability Quiz Set 004

Advertisement


Your Score
Correct Answers:
Wrong Answers:
Unattempted:

Question 1

A dice is thrown once. What is the probability that we get a number greater than 4?

 A

1/3.

 B

2/3.

 C

5/6.

 D

1.

Soln.
Ans: a

Total outcomes = 6. Favorable outcomes are 2: getting a 5 or 6. The required probability is 2/6 = 1/3.


Question 2

A class has 3 boys and 2 girls. What is the probability of choosing 1 boy and 2 girls?

 A

${3/10}$.

 B

$4/5$.

 C

$4/10$.

 D

$8/10$.

Soln.
Ans: a

Three students have to be picked. Total number of ways = 5C3 = ${5 × 4 × 3}/{3 × 2 × 1} = $10. Number of ways of picking 1 boy and 2 girls = 3C1 × 2C2 = 3. So probability = $3/10$ = ${3/10}$.


Question 3

A box contains 6 cyan, 3 pink and 8 orange marbles. What is the probability of drawing a orange marble if 2 marbles are drawn out randomly?

 A

${25/34}$.

 B

$8/17$.

 C

$26/136$.

 D

$30/136$.

Soln.
Ans: a

Total number of marbles is 17. Combinations of 2 marbles that are possible = 17C2 = ${17 × 16}/2$ = 136. If one of the two balls is orange, then both balls will be orange in 8C2 = ${8 × (8 - 1)}/2$ = 28 ways. The number of ways in which non-orange can be drawn out are 8 × (6 + 3). So total favorable outcomes = 28 + 8 × 9 = 100, and the probability is 100/136 = ${25/34}$.


Question 4

Three unbiased coins are tossed. What is the probability of getting at most two heads?

 A

7/8.

 B

3/8.

 C

1/8.

 D

5/8.

Soln.
Ans: a

Three coins will give 8 possibilities = 2 × 2 × 2. At most two heads means 1 or 2 heads. We will not get this only when all tails come, which is possible only once. So 8 - 1 = 7 chances are favorable. The probability = 7/8.


Question 5

A carton consists of 100 hats out of which 72 are good, 6 have minor defects and the remaining have major defects. A hat is taken out at random. What is the probability that it has a major defect?

 A

${11/50}$.

 B

$6/72$.

 C

$12/50$.

 D

$16/50$.

Soln.
Ans: a

Out of 100 outcomes, the ones that favor a hat with a major defect are 100 - 72 - 6 = 22. So probability = 22/100 = ${11/50}$.


buy aptitude video tutorials


Creative Commons License
This Blog Post/Article "Probability Quiz Set 004" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


Advertisement