**Probability Questions** for Bank PO Exams – SBI PO, NIACL, NICL, BoB PO, IBPS PO, and other exams

- A bag contains 6 red, 2 blue and 4 green balls. 3 balls are chosen at random. What is the probability that at least 2 balls chosen will be red?

A) 2/7

B) 1/2

C) 1/3

D) 2/5

E) 3/7

- Tickets numbered 1 to 250 are in a bag. What is the probability that the ticket drawn has a number which is a multiple of 4 or 7?

A) 83/250

B) 89/250

C) 77/250

D) 93/250

E) 103/250

- From a deck of 52 cards, 3 cards are chosen at random. What is the probability that all are face cards?

A) 14/1105

B) 19/1105

C) 23/1105

D) 11/1105

E) 26/1105

- One 5 letter word is to be formed taking all letters – S, A, P, T and E. What is the probability that this the word formed will contain all vowels together?

A) 2/5

B) 3/10

C) 7/12

D) 3/5

E) 5/12

- One 5-digit number is to be formed from numbers – 0, 1, 3, 5, and 6 (repetition not allowed). What is the probability that number formed will be even?

A) 8/15

B) 7/16

C) 7/15

D) 3/10

E) 13/21

**Directions (6-8):** There are 3 bags containing 3 colored balls – Red, Green and Yellow.

Bag 1 contains:

24 green balls. Red balls are 4 more than blue balls. Probability of selecting 1 red ball is 4/13

Bag 2 contains:

Total balls are 8 more than 7/13 of balls in bag 1. Probability of selecting 1 red ball is 1/3. The ratio of green balls to blue balls is 1 : 2

Bag 3 contains:

Red balls equal total number of green and blue balls in bag 2. Green balls equal total number of green and red balls in bag 2. Probability of selecting 1 blue ball is 3/14.

- 1 ball each is chosen from bag 1 and bag 2, What is the probability that 1 is red and other blue?

A) 15/128

B) 21/115

C) 17/135

D) 25/117

E) 16/109

- Some green balls are transferred from bag 1 to bag 3. Now probability of choosing a blue ball from bag 3 becomes 3/16. Find the number of remaining balls in bag 1.

A) 60

B) 58

C) 52

D) 48

E) 44

- Green balls in ratio 4 : 1 from bags 1 and 3 respectively are transferred to bag 4. Also 4 and 8 red balls from bags 1 and 3 respectively . Now probability of choosing green ball from bag 4 is 5/11. Find the number of green balls in bag 4?

A) 12

B) 15

C) 10

D) 9

E) 11

**Directions (9-10):** There are 3 people – A, B and C. Probability that A speaks truth is 3/10, probability that B speaks truth is 3/7 and probability that C speaks truth is 5/6. For a particular question asked, at most 2 people speak truth. All people answer to a particular question asked.

- What is the probability that B will speak truth for a particular question asked?

A) 7/18

B) 14/33

C) 4/15

D) 9/28

E) 10/33

- A speaks truth only when B does not speak truth, then what is the probability that C does not speak truth on a question?

A) 11/140

B) 21/180

C) 22/170

D) 13/140

E) None of these