Posts
MULTIPLE CHOICE QUESTIONS (MCQs)
Q 1. If one ball is drawn
at random from each of three boxes containing 3 white and 1 black, 2 white and
2 black, 1 white and 3 black balls, then the probability that 2 white and 1
black balls will be drawn is
(a)
Q 2. A and B draw two
cards each, one after another, from a pack of well-shuffled pack of 52 cards.
The probability that all the four cards drawn are of the same suit is
(a)
Q 3. A and B are two
events such that P (A) = 0.25 and P (B) = 0.50. The probability of both
happening together is 0.14. The probability of both A and B not happening is
(a) 0.39 (b)
0.25 (c) 0.11 (d) none of these
Q 4. The probabilities of
a student getting I, II and III division in an examination are
(a)
Q 5. India play two
matches each with West Indies and Australia. In any match the probabilities of
India getting 0,1 and 2 points are 0.45, 0.05 and 0.50 respectively. Assuming
that the outcomes are independent, the probability of India getting at least 7
points is
(a) 0.0875 (b)
1/16 (c) 0.1125 (d) none of these
Q 6. Three faces of an
ordinary dice are yellow, two faces are red and one face is blue. The dice is
rolled 3 times. The probability that yellow red and blue face appear in the
first second and third throws respectively, is
(a)
Q 7. The probability that
a leap year will have 53 Fridays or 53 Saturdays is
(a)
Q 8. A person write 4
letters and addresses 4 envelopes. If the letters are placed in the envelopes
at random, then the probability that all letters are not placed in the right
envelopes, is
(a)
Q 9. A speaks truth in
75% cases and B speaks truth in 80% cases. Probability that they contradict
each other in a statement, is
(a)
Q 10. Three integers are
chosen at random from the first 20 integers. The probability that their product
is even is
(a)
Q 11. Out of 30 consecutive
integers, 2 are chosen at random. The probability that their sum is odd, is
(a)
Q 12. A bag contains 5
black balls, 4 white balls and 3 red balls. If a ball is selected randomwise,
the probability that it is black or red ball is
(a)
Q 13. Two dice are thrown
simultaneously. The probability of getting a pair of aces is
(a)
Q 14. 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 the same colour is
(a)
Q 15. A coin is tossed
three times. If events A and B are defined as A = Two heads come, B = Last
should be head. Then, A and B are
(a) independent (b)
dependent (c) both (d) none of these
Q 16. Five persons entered
the lift cabin on the ground floor of an 8 floor house. Suppose that each of
them independently and with equal probability can leave the cabin at any floor
beginning with the first, then the probability of all 5 persons leaving at
different floor is
(a)
Q 17. A box contains 10
good articles and 6 with defects. One item is drawn at random. The probability
that it is either good or has a defect is
(a)
Q 18. A box contains 6 nails
and 10 nuts. Half of the nails and half of the nuts are rusted. If one item is
chosen at random, the probability that it is rusted or is a nail is
(a)
Q 19. A bag contains 5
brown and 4 white socks. A man pulls out two socks. The probability that these
are of the same colour is
(a)
Q 20. If S is the sample
space and
(a) 1/4 (b)
1/2 (c)
3/4 (d) 3/8
Q 21. If A and B are two
events, then P (A O B) =
(a)
(c)
P (A) + P (B) – P (A Ç B) (d) P (B) – P (A Ç
B)
Q 22. If P (A È B) = 0.8 and P (A Ç B) 0.3, then P
(a) 0.3 (b)
0.5 (c)
0.7 (d) 0.9
Q 23. A bag X contains 2
white and 3 black balls and another bag Y contains 4 white and 2 black balls.
One bag is selected at random and a ball is drawn from it. Then, the probability
hosen to be white is
(a) 2/15 (b)
7/15 (c) 8/15 (d) 14/15
Q 24. Two persons A and B
take turns in throwing a pair of dice. The first person to throw 9 from both
dice will be awarded the prize. If A throws first, then the probability that B
wins the game is
(a) 9/17 (b)
8/17 (c) 8/9 (d) 1/9
Q 25. The probability that
in a year of 22nd century chosen at random, there will be 53 Sundays is
(a) 3/28 (b)
2/28 (c) 7/28 (d) 5/28
Q 26. From a set of 100
cards numbered 1 to 100, one card is drawn at random. The probability that the
number obtained on the card is divisible by 6 or 8 but not by 24 is
(a) 6/25 (b)
1/4 (c) 1/6 (d) 2/5 (e) 4/5
ANSWERS
1. (a) 2. (a) 3. (a) 4. (b) 5. (a) 6. (a) 7. (b)
8. (d) 9.
(a) 10. (c)
11. (c) 12. (d) 13. (a) 14. (a) 15. (b)
16. (a) 17. (a) 18. (c) 19. (d) 20.
(a)
21. (d) 22. (d) 23. (c) 24. (b) 25. (d) 26. (a)
THANKS FOR READING MY POSTS. FOLLOW MY BLOG AND SHARE YOUR FRIENDS