Probability, Permutation and Combination related aptitude questions for IBPS bank exam preparations. Simple probability related questions for bank exam preparations.

1. In how many different ways can the letters of the word 'PRAISE’ be arranged ?

(1) 720 (2)610 ( 3)360 (4)210 (5) None of these

2. In how many different ways can the letters of the word QUOTED be arranged ?

(1) 720 (2)360 (3) 1440 (4) 320 (5) None of these

Directions: (3 – 5):Study the given information carefully to answer the questions that follow.

A committee of 6 teachers is to be formed out of 4 science teachers, 5 arts teachers and 3 commerce teachers. In how many different ways can the committee be formed if

3. two teachers from each stream are to be included ?

(1) 210 (2) 180 (3) 145 (4) 96 (5) None of these

4. no teacher from the commerce stream is to be included ?

(1)81 (2)62 (3) 46 (4) 84 (5) None of these

5. any teacher can be included in the committee ?

(1) 626 (2) 718 (3) 924 (4) 844 (5) None of these

Directions :(6 -8); Study the information and answer the questions that follow.

A basket contains 3 red balls, 5 blue balls and 2 green balls.

6. If three balls are drawn at random what is the probability that none is blue?

l) 1/6 2) 1/12 3) 1/5 4) 3/10 5) None of these

7. If four balls are drawn at random what is the probability that at least one is green?

1) 2/3 2) ½ 3) 1/3 4) 2/5 5) None of these

8. If two balls are drawn at random what is the probability that both are red?

1) 1/5 2) 3/10 3) 3/5 4) 1/15 5) None of these

Directions (Q. 9-11): Study the information carefully to answer the questions that follow:

A basket contains 3 blue, 2 green and 5 red balls.

9. If three balls are picked at random, what is the probability that at least one is red?

1) 1/2 2) 7/12 3) 11/12 4) 1/5 5) None of these

10. If four balls are picked at random, what is the probability that two are green and two are blue?

1) 1/18 2) 1/70 3) 3/5 4) ½ 5) None of these

1. In how many different ways can the letters of the word 'PRAISE’ be arranged ?

(1) 720 (2)610 ( 3)360 (4)210 (5) None of these

2. In how many different ways can the letters of the word QUOTED be arranged ?

(1) 720 (2)360 (3) 1440 (4) 320 (5) None of these

Directions: (3 – 5):Study the given information carefully to answer the questions that follow.

A committee of 6 teachers is to be formed out of 4 science teachers, 5 arts teachers and 3 commerce teachers. In how many different ways can the committee be formed if

3. two teachers from each stream are to be included ?

(1) 210 (2) 180 (3) 145 (4) 96 (5) None of these

4. no teacher from the commerce stream is to be included ?

(1)81 (2)62 (3) 46 (4) 84 (5) None of these

5. any teacher can be included in the committee ?

(1) 626 (2) 718 (3) 924 (4) 844 (5) None of these

Directions :(6 -8); Study the information and answer the questions that follow.

A basket contains 3 red balls, 5 blue balls and 2 green balls.

6. If three balls are drawn at random what is the probability that none is blue?

l) 1/6 2) 1/12 3) 1/5 4) 3/10 5) None of these

7. If four balls are drawn at random what is the probability that at least one is green?

1) 2/3 2) ½ 3) 1/3 4) 2/5 5) None of these

8. If two balls are drawn at random what is the probability that both are red?

1) 1/5 2) 3/10 3) 3/5 4) 1/15 5) None of these

Directions (Q. 9-11): Study the information carefully to answer the questions that follow:

A basket contains 3 blue, 2 green and 5 red balls.

9. If three balls are picked at random, what is the probability that at least one is red?

1) 1/2 2) 7/12 3) 11/12 4) 1/5 5) None of these

10. If four balls are picked at random, what is the probability that two are green and two are blue?

1) 1/18 2) 1/70 3) 3/5 4) ½ 5) None of these

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