1. A bag contains 5 red balls, 3 black balls and 4 white balls. Three balls are drawn at random from the bag. Find the sum of the probability that all of them are red and probability that all of them are black.
A) 13 / 220 B) 1/ 20 C) 9 / 220 D) 7 / 220 E) 3 / 220
Ans: B
2. A bag has 2 red, 5 blue and 7 green ribbons. If five ribbons are taken out from the bag one after another and with replacement, then find the probability of getting two blue ribbons.
A) 60 / 157 B) 60 / 143 C) 63 / 149 D) 59 / 160 E) 57 / 163
Ans: B
3. A rack has 3 green shirts, 4 blue shirts and 2 red shirts. if 2 shirts are picked at random without replacement from the rack, then find the probability that both shirts are of the same color.
A) 7 / 18 B) 11 / 36 C) 5 / 18 D) 4 / 15 E) 2 / 9
Ans: C
4. 20 cards numbered 1 to 20 are mixed up and then two cards are drawn at random. What is the probability that both cards have prime numbers?
A) 21/190 B) 3/19 C) 11/15 D) 13/15 E)14/15
Ans: E
5. A bag contains 18 balls of three different colors i.e, black, green, and red. The 4 probability of drawing a black ball is 4/ 9 and the ratio of green balls and red balls is 3 : 2. If two balls taken out random from the bag, then find the probability of both the balls are red in color.
A) 2/15 B) 2/19 C) 7/47 D) 2/51 E) 11/23
Ans: D
6. There are 5 green, 3 red and 4 white balls in a bag. If three balls are drawn randomly. What is the probability that no ball is red?
A) 18/55 B) 19/55 C) 4/11 D) 4/11 E) NONE
Ans: D
7. In a box there are 15 bulbs out of which only 6 are in working conditions. 2 bulbs were picked at random. Find the probability that the bulbs picked were not in the working conditions.
Ans: B
8. A bag contains 8 red, 5 white and 7 blue balls. A person picks three balls at random. Find the difference between the probability that out of three, 2 balls are red, and out of three, at least two balls are blue.
9. A bag contains 12 red balls and 8 blue balls and another bag contains 10 blue balls and 8 yellow balls. Two balls are drawn, one from each bag. Find the probability that both the balls are of different colors.
10. A box contains some pink balls, some yellow balls and 11 blue balls. The probabilityof selecting one pink ball from the box is 1/4 and the probability of selecting one yellow ball from the box is 7/ 24 What is the difference between the number of pink balls and yellow balls?
11. An urn contains 24 balls of three different colours white, blue and black. The ratio between white, blue and black is 3 : 4 : 5. Find the probability of picking 2 balls, either black or blue.
12. A box contains different fruits, 3 lemon and 8 mangos and the other box contains 5 lemons and 7 mangos. One fruit has drawn at random from either of the boxes. Find the probability that the fruit is mango.
