## Quant Quiz for SBI PO 2017 (Probability and P&C)

Quant Quiz for SBI PO 2017 (Probability and P&C)
1. A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?
a) 1260
b) 210
c) 210 × 6!
d) 1512
e) None of these
2. From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
a) 564
b) 735
c) 756
d) 657
e) 854
3. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
a) 25200
b) 52000
c) 120
d) 24400
e) 12000
4. In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
a) 209
b) 290
c) 200
d) 208
e) 280
5. A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
a) 48
b) 64
c) 63
d) 45
e) 52
6. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
a) ½
b) 3/5
c) 9/20
d) 8/15
e) 7/18
7. In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
a) 1/3
b) 3/5
c) 8/21
d) 7/21
e) 9/21
8. A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
a) 10/21
b) 11/21
c) ½
d) 2/7
e) 3/7
9. In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
a) 21/46
b) 1/5
c) 3/25
d) 1/50
e) 2/25
10. A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved?
a) ¼
b) ½
c) ¾
d) 7/12
e) 5/12