# Quantitative Aptitude: Probability Questions – Set 6

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

- Three cards are drawn at random from a well-shuffled deck of cards. What is the probability of drawing a king, a Queen, and a jack?

A) 16/5525

B) 64/5225

C) 16/225

D) 4/525

E) None

- Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even ?

A) 1/2

B) 3/4

C) 7/4

D) 3/8

E) None

- A problem is given to three students whose chances of solving it are 1/3, 1/4 and 1/5 respectively. What is the probability that the problem will be solved?

A) 1/2

B) 3/4

C) 3/5

D) 4/5

E) None

- Two Persons attend an interview for two vacancies. The probability of 1st person selection is (1/4) and the probability of 2nd person selection is (1/6). What is the probability that only one of them is selected ?

A) 1/4

B) 2/7

C) 4/5

D) 1/3

E) None

- Four different objects 1,2,3 are distributed at random in four places. What is the probability that none of the objects occupies the place corresponding to its number ?

A) 1/7

B) 1/2

C) 2/3

D) 4/7

E) None

- A bag contain 6 green and 9 yellow flowers. Two successive drawing of four flowers are made such that the flowers are not replaced before the second draw. find the probability that the first draw gives 4 green flowers and second draw gives 4 yellow flowers.

A) 16/97

B) 8/453

C) 3/715

D) 5/715

E) None

- A committee of 4 is to be formed from among 4 girls and 5 boys. What is the probability that the committee will have number of boys less than number of girls?

A) 2/3

B) 1/6

C) 2/7

D) 4/7

E) None

- P and Q toss a coin alternately till one of them tosses a tail and wins the game. If P starts the game, find their respective probability of winning.

A) 1/3, 1/4

B) 1/4 , 2/3

C) 2/3, 1/3

D) 1/3, 1/2

E) None

**Directions (9-10):** The odds against a husband who is 45 years old, living till he is 70 are 7:5 and the odds against his wife who is now 36, living till she is 61 are 5:3 . Find the probability that

- None of them will be alive 25 years hence.

A) 35/96

B) 42/96

C) 55/96

D) 35/81

E) None

- Exactly one of them will be alive 25 years hence :

A) 29/48

B) 42/57

C) 23/57

D) 23/48

E) None