Directions (Q.1 - 5): Study the given information carefully and answer the questions that follow.
An Urn contains 6 red, 4 blue, 2 green and 3 yellow marbles.
1. If two marbles are picked at random, what is the probability that both marbles are red?
a) 1/6
b) 1/3
c) 2/15
d) 2/5
e) None of these
2. If three marbles are picked at random, what is the probability that two are blue and one is yellow?
a) 3/91
b) 1/5
c) 18/455
d) 7/15
e) None of these
3. If four marbles are picked at random, what is the probability that at least one is blue?
a) 4/15
b) 69/91
c) 11/15
d) 22/91
e) None of these
4. If two marbles are picked at random, what is the probability that either both are green or both are yellow?
a) 5/91
b) 1/35
c) 1/3
d) 4/105
5. If four marbles are picked at random, what is the probability that one is green, two are blue and one is red?
a) 24/455
b) 13/35
c) 11/15
d) 7/91
e) None of these
6. Three mangoes and three apples are kept in a box. If two fruits are chosen at random, find the probability that one is a mango and the other is an apple?
a) 2/3
b) 3/5
c) 1/3
d) 1/5
e) None of these
7. In a lottery 10000 tickets are sold and ten prizes are awarded. What is the probability of not getting a prize, if you buy one ticket?
a) 9/10000
b) 9/10
c) 999/1000
d) 9999/10000
e) None of these
8. Out of 13 applicants for a job, there are 5 women and 8 men. It is desired to select 2 persons for the job. The probability that at least one of the selected persons will be a women, is?
a) 25/39
b) 14/35
c) 5/13
d) 10/13
e) None of these
9. Five coins are tossed at a time. Then, the probability of obtaining at least one tail is?
a) 31/32
b) 1/32
c) 1/5
d) 5/32
e) None of these
10. Eight persons A, B, C, D, E, F, G and H appeared for an interview. Find the probability that both A and D are selected in the interview?
a) 2/31
b) 1/64
c) 3/32
d) 1/2
e) None of these
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