1) In how many ways can the team members be arranged for the team picture if all the males are always together and if the team comprises of 7 males and 6 females?
a) 13!
b) 7! 7!
c) 7! 6!
d) 14!
2) A written exam consists of 6 questions with the answer options as yes/no/none. In how many ways can the examinees select the answers?
a) 6P3 ways
b) 6C3 ways
c) 3C1. 3C1. 3C1. 3C1. 3C1
d) (3C1)^6
a) 1/3
b) 1/2
c) 3C1 * 3/2
d) 2/3
4) Probability of one of the power plants over heating is 0.15per day and the probability of failure of the backup cooling system is 0.11. If these events are independent, what is the probability of "big trouble"(i.e. both events taking place)?
a) 0.35
b) 0.0185
c) 0.0165
d) 0.26
5) There are 5 letters and 5 addressed envelopes. The number of ways in which all the letters can be put in wrong envelope are?
a) 119
b) 44
c) 59
d) 40
6) Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. what is the probability that selecting multiple of 3 or 5?
a) 9/20
b) 7/20
c) 1/4
d) None
7) A bag contains 2 red, 3 green and 2 blue, 2 balls are drawn at random. Probability that none of the balls drawn is blue?
a) 2/5
b) 10/21
c) 11/21
d) 9/21
8) Two dice are thrown simultaneously, what is the probability of getting two numbers whose product is even?
a) 1/4
b) 7/36
c) 3/4
d) none
9) From a pack of 52 cards, two cards are drawn together at random. What is the probability that both the cards are being kings?
a) 1/15
b) 25/37
c) 35/256
d) 1/221
10) In how many can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
a) 63
b) 62
c) 31
d) 30
11) 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) 32
b) 64
c) 33
d) 61
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