The pdf contains multiple type questions on the topic PROBABILITY.
The pdf contains the most important questions and covers all the topics in depth.
Answers have been also given on the last page.
MULTIPLE CHOICE QUESTIONS
Q No Question
1. Out of 30 consecutive integers, 2 are chosen at random. The probability that their sum is odd, is
(a) 14/29 (b) 16/29 (c) 15/29 (d) 10/29
2.
The probability that a leap year will have 53 Fridays or 53 Saturdays is
(a) 2/7 (b) 3/7 (c) 4/7 (d) 1/7
3. A speaks truth in 75% cases and B speaks truth in 80% cases. Probability that they contradict each
other in statement is
(a) 7/20 (b) 13/20 (c) 3/5 (d) none of these
4. Three integers are chosen at random from the first 20 integers. The probability that their product is
even is
(a) 2/19 (b) 3/29 (c) 17/19 (d) 4/19
5. Let A and B be two given events such that P(A) = 0.6, P(B) = 0.2 and P(A/B) = 0.5. Then P(A’/B’) is
(a) 1/10 (b) 3/10 (c) 3/8 (d) 7/8
6. If P(A ∩ B) = 70% and P(B) = 85%, then P(A/B) is equal to
(a) 14/17 (b) 17/20 (c) 7/8 (d) 1/8
7. Two dice are thrown once. If it is known that the sum of the numbers on the dice was less than 6
the probability of getting a sum 3 is
(a) 1/18 (b) 5/18 (c) 1/5 (d) 2/5
8. If A and B are two independent events such that P(A) = 17 and P(B) = 16 then P(A’ ∩ B’) is
(a) 3/7 (b) 5/7 (c) 4/7 (d) 4/9
9. What will be the value of P(not E) if P(E) = 0.07?
(a) 0.9 (b) 0.92 (c) 0.93 (d) 0.45
10. In a box, there are 8 orange, 7 white, and 6 blue balls. If a ball is picked up randomly, what is the
probability that it is neither orange nor blue?
(a) 1/3 (b) 2/3 (c) 1/21 (d) 5/21
11. Suppose a number x is chosen from the numbers -2, -1, 0, 1, 2. What will be the probability of x 2 >
0?
(a) 1/5 (b) 2/5 (c) 2/3 (d) 4/5
12. If a number is selected at random from the first 50 natural numbers, what will be the probability
that the selected number is a multiple of 3 and 4?
(a) 7/50 (b) 4/25 (c) 2/25 (d) None of these
13. The probability of winning the first prize in a lottery of a girl is 8/100. If the total of 6000 tickets are
sold, then how many tickets the girl purchased?
(a) 480 (b) 750 (c) 280 (d) None of these
nd
The Probability that in a year of 22 century at random, there will be 53 Sundays, is
14.
ZIET, BHUBANESWAR Page 1
, (a) 3/28 (b) 2/28 (c) 7/28 (d) 5/28
15. An urn contains 9 balls, two of which are red, three blue and four black. Three balls are drawn at
random. The probability that they are of same colour is
(a) 5/84 (b) 3/9 (c) 3/7 (d) 7/17
16 2 1 3
If P (A) = , P (B) = , then find P (A / B) = , then P(A ∩ B) = -------
5 3 5
3 1 2 1
(a) (b) (c) (d)
5 4 3 5
17 If P(A) = 0.3, P(B) = 0.5 and P(A/B) = 0.4, then P(B/A) is
2 3 2
(a) (b) (c) (d) none of these
5 5 3
18 If events A and B are independent, P(A) = 0.3 and P(A ∪ B) = 0.58 then P(B) is -------
(a) 0.28 (b) 0.4 (c) 0.5 (d) none of these
19 7 9 4
If P(A) = , P(B) = and P(A ∩ B) = , then P(A′/B)= -----
13 13 13
5 4 3 6
(a) (b) (c) (d)
9 9 9 9
20 A sample of 4 items is drawn at random with replacement from a lot of 10 items containing 3
defective items. If X denotes the number of defective items in the sample, then P(0<X<3)=---
3 4 1
(a) (b) (c) (d) none of these
10 5 2
21 A class consists of 80 students. 25 of them are girls and remaining boys, 10 of them are rich and
remaining poor, 20 of them are fair complexioned and others not. Then the probability of selecting
a fair complexioned rich girl is ------
ZIET, BHUBANESWAR Page 2
, 25 5 7 25
(a) (b) (c) (d)
80 512 512 320
22 A box contains 15 oranges out of which 12 are good. It is inspected by examining three randomly
selected oranges drawn without replacement. If all the three oranges are good, the box is approved
for sale. Then the probability that the box will be approved for sale is ----
3 12 44 22
(a) (b) (c) (d)
455 455 91 91
23 A speaks truth in 70% cases and B speaks truth in 85% cases. Then the probability that they speak
the same fact is ________.
(a) 15% (b) 70% (c) 59.5% (d) 64%
24 A and B throw a pair of dice turn by turn. The first to throw 9 is awarded a prize. If A starts the
game, the the probability of A getting the prize is -----
9 1 8 64
(a) (b) (c) (d)
17 9 9 81
25 Bag A contains 3 red and 5 black balls and bag B contains 2 red and 4 black balls. A ball is drawn
from one of the bags. The probability that ball drawn is red is -----
17 17 3 1
(a) (b) (c) (d)
24 48 8 3
26 Three numbers are chosen at random without replacement from {1,2,3,...,8}. The probability that
their minimum is 3, given that their maximum is 6, is ------
3 1 1 2
(a) (b) (c) (d)
8 4 5 5
27 One card is drawn from a well shuffled pack of 52 cards. If E is the event “the card drawn is a king
or a queen” and F is the event “the card drawn is an ace or a queen,” then P(E/F) is----
ZIET, BHUBANESWAR Page 3
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