Probability Quiz

A coin is tossed at random 100 times and the tail is obtained 52 times. What is the probability of getting head?

1. 1/13
2. 1/12
3. 25/12
4. 12/25

Answer: (d) 12/25

A bag contains 5 black, 6 red and 5 white balls. A ball is drawn at random. What is the probability that the ball is drawn not white?

1. 1/16
2. 11/16
3. 10/16
4. 1/15

Answer: (b) 11/16

What is the probability of getting an ace in a dice?

1. 0
2. 1/52
3. 4/13
4. 1/13

Answer: (a) 0

Ten cards are numbered as 1,2,3 ……20 respectively, They are kept in a box and mixed thoroughly, one card is drawn at random from the box. What is the probability of getting perfect squares of numbers?

1. 1/20
2. 3/17
3. 3/20
4. 6/20

Answer: (c) 3/20

In a throw of two dice, what is the probability of getting a sum greater than 8?

1. 1/18
2. 5/12
3. 5/18
4. 3/18

Answer: (c) 5/18

A die is thrown 24 times. If number 4 comes up 12 times, the probability of number '4' is 1/k. Then, find the value of k.

1. 5
2. 3
3. 1
4. 2

Answer: (d) 2

In a manufacturing plant, two conveyor belts are operated. Conveyor belt 1 has a 9% chance of failure on any given day and conveyor belt 2 has a 15% chance of failure. Determine the probability that on any one day both conveyor belts will operate without failure.

1. 77.35%
2. 70.34%
3. 36.60%
4. 34.54%

Answer: (a) 77.35%

A couple is hoping for 6 children, and they want the specific order girl, boy, girl, girl, boy, boy (GBGGBB). What is the probability that they will be unhappy if the children are born in any other order?

1. 90.56%
2. 98.43%
3. 56.73%
4. 22.67%

Answer: (b) 98.43%

In a group of three girls and four boys, two students are chosen at random. Find the probability that the youngest and the eldest students are chosen.

1. 3/21
2. 2/21
3. 1/21
4. 2/11

Answer: (a) 3/21

Read the following passage and answer the following question: A basketball player averages making 3 out of 5 free throws, which indicates a success rate of 60%. If the player attempts 4 free throws in a game, we can use this average to estimate the expected number of successful shots. Given the player’s consistent performance, we can anticipate that they are likely to make approximately 2 or 3 successful free throws out of the 4 attempts. What is the probability that they make a successful free throw on any given attempt?

1. 50.00%
2. 10%
3. 40.00%
4. 60.00%

Answer: (d) 60.00%