Probability Test 1

Welcome to your Probability Test 1

Question No. 1

A dice is thrown once. Find the probability of getting an odd number.

A. 1/3

B. 1/2

C. 1/4

D. 1/6

E. None of these

Question No. 2

Two dice are tossed. The probability that the total score is a prime number is?

A. 1/6

B. 5/12

C. 1/2

D. 7/9

E. 8/9

Question No. 3

Two candidates A and B appear for a job interview. The probability of getting selected in the job is for A and B are (1/5) and (1/6) respectively. What is the probability that both A and B will not be selected in job interview?

E. None of these

Question No. 4

A coin is tossed 6 times. The probability of getting Exactly head three times is

A. 1/2

B. 3/64

C. 1/8

D. 5/16

E. None of the Above

Question No. 5

One-third of 15 mangoes got rotten. If 5 mangoes are taken out randomly, what is the probability that no mango is rotten?

A. 12/143

B. 12/133

C. 16/99

D. 85/99

E. None of these

Question No. 6

A bag contains 4 red balls, 6 White balls, 8 Green balls and 10 Black balls. If one ball is drawn at random, find the probability that it is Black.

A. 5/14

B. 5/16

C. 1/16

D. 4/15

E. None of these

Question No. 7

A box contains fifty tickets each bearing one of the numbers from 1 to 50. Five tickets are drawn out at random and arranged in an ascending order such as X₁< X₂< X₃<X₄<X₅. The chance that X₃ = 30 is

D. 0.5

E. None of these

Question No. 8

Radha tossed three unbiased coins. What is the probability of getting at least 2 heads?

A. 1/4

B. 1/2

C. 1/3

D. 1/8

E. None of these

Question No. 9

Mayank threw two dice simultaneously. What is the probability of getting a total of 7?

A. 1/6

B. 1/4

C. 2/3

D. 3/4

E. None of these

Question No. 10

A bag contains 4 bananas and 3 apples. 3 fruits are taken out randomly. Find the probability of that drawn fruits is either all apples or all bananas.

A. 5/9

B. 2/11

C. 1/7

D. 3/4

E. 1/2

Question No. 11

A box contains 2 blue caps, 4 red caps, 5 green caps and 1 yellow cap. If one cap is picked at random, what is the probability that it is either blue or yellow?

A. 2/9

B. 1/4

C. 3/8

D. 6/11

E. None of these

Question No. 12

Given below is a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements is sufficient to answer the question. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

Six consecutive natural numbers are written on six faces of a dice. What is a probability that a multiple of 5 is the outcome when the dice is thrown?

I. Largest number of dice is a multiple of 6.

II. Smallest number of dice is not a multiple of 5.

A. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C. The data in statement I alone or in statement II alone is sufficient to answer the question.

D. The data in both the statements I and II is not sufficient to answer the question.

E. The data in both the statements I and II together is necessary to answer the question.

Question No. 13

What will be the probability that a randomly chosen word has exactly three letters?

I. The word is not of four letters.

II. The word is not of two letters.

A. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C. The data in statement I alone or in statement II alone is sufficient to answer the question.

D. The data in both the statements I and II is not sufficient to answer the question.

E. The data in both the statements I and II together is necessary to answer the question.

Question No. 14

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answer.

Quantity A: Find the probability of choosing a 2 digits number less than 50 which is divisible by 2 or 3 or 5 but not by 6 and 15.Quantity B: Probability of selection of a boy in an interview is 1/2 and that of a girl is 5/9. What is the probability that one of them will be selected?

A. Quantity A > Quantity B

B. Quantity A < Quantity B

C. Quantity A ≥ Quantity B

D. Quantity A ≤ Quantity B

E. Quantity A = Quantity B or No relation.

Question No. 15

Direction: Based on the given information, determine the relation between the two quantities

A fair die is thrown.

Quantity A: Probability of getting a prime number.

Quantity B: Probability of getting a number between 2 and 6.

A. Quantity A > Quantity B

B. Quantity A < Quantity B

C. Quantity A ≥ Quantity B

D. Quantity A ≤ Quantity B

E. Quantity A = Quantity B

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