Directions (1-5): Study the given information carefully
A basket contains 6 blue, 2 red, 4 green and 3 yellow balls.
Q1. If 2 balls are picked at random, what is the probability that either both are green or both are yellow?
(a) 2/5
(b) 3/35
(c) 1/3
(d) 3/91
(e) None of these
Q2. If 5 balls are picked at random, what is the probability that at least one is blue?
(a) 137/145
(b) 9/91
(c) 18/455
(d) 2/5
(e) None of these
Q3. If 2 balls are picked at random, what is the probability that both are blue?
(a) 1/5
(b) 8/91
(c) 2/15
(d) 2/27
(e) None of these
Q4. If 4 balls are picked at random, what is the probability that 2 are red and 2 are green?
(a) 4/15
(b) 5/27
(c) 1/3
(d) 2/455
(e) None of these
Q5. If 3 balls are picked at random, what is the probability that none is yellow?
(a) 3/455
(b) 1/5
(c) 44/91
(d) 4/5
(e) None of these
Q6. An urn contains 3 red, 6 blue,2 green and 4 yellow balls. If two balls are picked randomly then the probability that either both are red or both are green is
(a) 3/5
(b) 4/105
(c) 2/7
(d) 5/91
(e) None of these
Q7. A basket contains 2 white bands, 3 green bands and 5 blue bands. In how many ways can three bands be drawn from the basket, if at least one green band is to be included in the drawn?
(a) 95
(b) 84
(c) 85
(d) 80
(e) 65
Q8. A card is drawn from a pack of 52 cards. The probability of getting a king of a club or a queen of heart is
(a) 3/26
(b) 1/13
(c) 2/13
(d) 1/26
(e) 1/52
Q9. Out of 5 women and 4 men, a committee of three members is to be formed in such a way that at least one member is woman. In how many different ways can this be done?
(a) 60
(b) 100
(c) 120
(d) 90
(e) 80
Q10. A box contains 2 black, 3 orange and 4 pink ribbons. If two ribbons are drawn at random. What is the probability that both are orange?
(a) 5/12
(b) 1/13
(c) 1/14
(d) 1/12
(e) 1/24
Q11. 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) ¼
(b) 1/5
(c) 1/6
(d) 1/7
(e) None of these
Q12. A box contains 4 black balls, 3 red balls and 5 green balls. 2 balls are drawn from the box at random. What is the probability that both the balls are of the same colour?
(a) 47/68
(b) 1/6
(c) 19/66
(d) 2/11
(e) None of these
Q13. In a box carrying one dozen of oranges, one-third have become bad. If 3 oranges are taken out from the box at random, what is the probability that at least one orange out of the three oranges picked up is good?
(a) 1/55
(b) 54/55
(c) 45/55
(d) 3/55
(e) None of these
Q14. A box contains 5 green, 4 yellow and 3 white marbles. 3 marbles are drawn at random. What is the probability that they are not of the same colour?
(a) 13/44
(b) 41/44
(c) 13/55
(d) 152/55
(e) None of these
Q15. Out of 15 students studying in a class, 7 are from Maharashtra, 5 from Karnataka and 3 from Goa. Four students are to be selected at random. What are the chances that at least one is from Karnataka?
(a) 12/13
(b) 11/13
(c) 100/15
(d) 51/15
(e) None of these
Solutions
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