9. A bag has 3 red balls and 5 green balls. If we take a ball from the bag, then what is the probability of getting red balls only?
ANSWER=
C. ⅜
Explanation: Number of red balls = 3
Number of green balls = 5
Total balls in bag = 3+5 = 8
Probability of getting red balls = number of red balls/total number of balls
= ⅜
10. A bag has 5 white marbles, 8 red marbles and 4 purple marbles. If we take a marble randomly, then what is the probability of not getting purple marble?
ANSWER=
D. 0.77
Explanation: Total number of purple marbles = 4
Total number of marbles in bag = 5 + 8 + 4 = 17
Probability of getting purple marbles = 4/17
Hence, the probability of not getting purple marbles = 1-4/17 = 0.77
11. A dice is thrown in the air. The probability of getting odd numbers is
ANSWER=
A. ½
Explanation: A dice has six faces having values 1, 2, 3, 4, 5 and 6.
There are three odd numbers and three even numbers.
Therefore, the probability of getting only odd numbers is = 3/6 = ½
12. If we throw two coins in the air, then the probability of getting both tails will be:
ANSWER=
B. ¼
Explanation: When two coins are tossed, the total outcomes will be = 2 x 2 = 4
Hence, the probability of getting both tails = ¼
13. If two dice are thrown in the air, the probability of getting sum as 3 will be
ANSWER=
C. 1/18
Explanation: When two dice are thrown in the air:
Total number of outcome = 6 x 6 = 36
Sum 3 is possible if we get (1,2) or (2,1) in the dices.
Hence, the probability will be = 2/36 = 1/18
14. A card is drawn from the set of 52 cards. Find the probability of getting a queen carD.
ANSWER=
B. 1/13
Explanation: Total number of cards = 52
Number of queen cards= 4
The probability of getting queen card = 4/52 = 1/13
15. A fish tank has 5 male fish and 8 female fish. The probability of fish taken out is a male fish:
ANSWER=
B. 5/13
Explanation: Total fish = 5 + 8 = 13
Probability of taking out a male fish = 5/13
16. The sum of the probabilities of all the elementary events of an experiment is
ANSWER=
B. 1
17. A card is selected at random from a well shuffled deck of 52 playing cards. The probability of its being a face card is
ANSWER=
A. 3/13
Explanation:
Total number of outcomes = 52
Number of face cards = 12
The probability of its being a face card = 12/52 = 3/13
18. If an event cannot occur, then its probability is
ANSWER=
D. 0
19. An event is very unlikely to happen. Its probability is closest to
ANSWER=
A. 0.0001
20. If PA. denotes the probability of an event A, then
ANSWER=
C. 0 ≤ PA. ≤ 1
21. The probability that a non leap year selected at random will contain 53 Sundays is
ANSWER=
A. 1/7
Explanation:
Non-leap year = 365 days
365 days = 52 weeks + 1 day
For 52 weeks, number of Sundays = 52
1 remaining day can be Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.
Total possible outcomes = 7
The number of favourable outcomes = 1
Thus, the probability of getting 53 Sundays = 1/7
22. If the probability of an event is p, the probability of its complementary event will be
ANSWER=
C. 1 – p
Explanation:
The sum of probability of an event and it complementary event = 1
So, if the probability of an event is p, the probability of its complementary event will be 1 – p.
23. A card is drawn from a deck of 52 cards. The event E is that card is not an ace of hearts. The number of outcomes favourable to E is
ANSWER=
D. 51
24. The probability of getting a bad egg in a lot of 400 is 0.035. The number of bad eggs in the lot is
ANSWER=
B. 14
Explanation:
Total number of eggs = 400
Probability of getting a bad egg = Number of bad eggs/Total number of eggs
0.035 = Number of bad eggs/400
Number of bad eggs = 0.035 × 400 = 14
25. Two players, Sangeeta and Reshma, play a tennis match. It is known that the probability of Sangeeta winning the match is 0.62. The probability of Reshma winning the match is
ANSWER=
B. 0.38
Explanation:
Probability of Sangeeta’s winning = P(S) = 0.62
Probability of Reshma’s winning = P(R) = 1 – P(S) {since events R and S are complementary}
= 1 – 0.62
= 0.38
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