Q1. 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 oranges 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
Q2. A basket contains 5 white and 9 black balls. There is another basket which contains 7 white and 7 black balls. One ball is to drawn from either of the two baskets. What is the probability of drawing a black ball?
(a) 3/7
(b) 5/7
(c) 4/7
(d) 8/15
(e) None of these
Q3. A bag contains 5 blue and 4 black balls. Three balls are drawn at random. What is the probability that 2 are blue and 1 is black?
(a) 1/3
(b) 2/5
(c) 1/6
(d) 1/5
(e) None of these
Q4. An urn contains 9 red, 7 white and 4 black balls. A ball is drawn at random. What is the probability that the ball drawn is not red?
(a) 1/11
(b) 9/20
(c) 2/11
(d) 11/20
(e) None of these
Q5. In a simultaneous throw of two dice, what is the probability of getting a total of 10 or 11?
(a) 7/12
(b) 5/36
(c) 1/6
(d) 1/4
(e) None of these
Q6. In a single throw of two dice what is the probability of not getting the same number on both the dice?
(a) 1/6
(b) 2/3
(c) 5/6
(d) 1/3
(e) None of these
Q7. One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is either a red or a king?
(a) 6/13
(b) 1/2
(c) 7/13
(d) 27/52
(e) None of these
Q8. A bag contains 3 red, 5 yellow and 4 green balls. 3 balls are drawn randomly. What is the probability that the balls drawn contain balls of different colours?
(a) 4/15
(b) 3/11
(c) 1/12
(d) 5/14
(e) None of these
Q9. A bag contains 5 red, 7 yellow and 6 green balls. 3 balls are drawn randomly. What is the probability that balls drawn contain exactly 2 green balls?
(a) 14/68
(b) 13/68
(c) 15/91
(d) 15/68
(e) None of these
Q10. A bag contains 5 red, 6 yellow and 7 green balls. 3 balls are drawn randomly. What is the probability that the balls drawn contain no red ball?
(a) 55/282
(b) 55/272
(c) 143/408
(d) 143/406
(e) None of these
Q11. A box contains 4 green, 5 yellow and 4 white marbles. 3 marbles are drawn at random. What is the probability that all the three marbles are not of same colour?
(a) 9/143
(b) 134/143
(c) 8/143
(d) 135/143
(e) None of these
Q12. A bag contains 4 red and 7 black balls. Two draws of three balls each are made, the ball being replaced after the first draw. What is the chance that the balls were red in the first draw and black in the second?
(a) 28/5445
(b) 25/5448
(c) 28/4554
(d) 25/4554
(e) None of these
Q13. A bag contains 9 red and 7 white balls. Four balls are drawn out one by one and not replaced. What is the probability that they are alternatively of different colours?
(a) 9/65
(b) 6/65
(c) 9/130
(d) 8/130
(e) None of these
Q14. A basket contains 5 white and 9 black balls. There is another basket which contains 7 white and 7 black balls. One ball is to drawn from either of the two baskets. What is the probability of drawing a white ball?
(a) 4/7
(b) 6/7
(c) 3/7
(d) 2/7
(e) None of these
Q15. 8 persons are seated at a round table. What is the probability that 3 particular persons sit together?
(a) 2/7
(b) 1/7
(c) 3/14
(d) 3/14
(e) None of these
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