Directions (Q.1 - 5): Study the following information carefully to answer the questions that follow.
A box contains 2 blue caps, 4 red caps, 5 green caps and 1 yellow cap.
1. If two caps are picked at random, what is the probability that both are blue?
a) 1/6
b) 1/10
c) 1/12
d) 1/45
e) None of these
2. If four are picked at random, what is the probability that none is green?
a) 7/99
b) 5/99
c) 7/12
d) 5/12
e) None of these
3. If three caps are picked at random, what is the probability that two are red and one is green?
a) 9/22
b) 6/19
c) 1/6
d) 3/22
e) None of these
4. If one cap is picked at random, what is the probability that it is either blue or yellow?
a) 2/9
b) 1/4
c) 3/8
d) 6/11
e) None of these
5. If two caps are picked at random, what is the probability that at least one is red?
a) 1/3
b) 16/21
c) 19/33
d) 7/19
e) None of these
Directions (Q.6 - 8): Study the given information carefully and answer the questions that follow.
A basket contains 4 red, 5 blue and 3 green marbles.
6. If two marbles are drawn at random, what is the probability that both are red?
a) 3/7
b) 1/2
c) 2/11
d) 1/6
e) None of these
7. If three marbles are picked at random, what is the probability that at least one is blue?
a) 7/12
b) 37/44
c) 5/12
d) 7/44
e) None of these
8. If three marbles are picked at random, what is the probability that either all are green or all are red?
a) 7/44
b) 7/12
c) 5/12
d) 1/44
e) None of these
9. One card is drawn at random from a well-shuffled pack of 52 cards. What is the probability that the card is either a red card or a king?
a) 1/13
b) 7/13
c) 10/13
d) 6/13
e) None of these
10. An urn contains 3 red and 4 green marbles. If three marbles are picked at random, what is the probability that two are green and one is red?
a) 3/7
b) 18/35
c) 5/14
d) 4/21
e) None of these
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