Answer:
1. Answer: (a) 1/6
Explanation: When a die is thrown, then total number of outcomes = 6
Odd number less than 3 is 1 only.
Number of possible outcomes = 1
∴ Required probability = 1/6
2. Answer: (b) between 0 and 1 (both inclusive)
3. Answer: (a) 1/4
Explanation: If two coins are tossed, then the sample space, S = {HH, HT, TH, TT}
Favourable outcome (Getting exactly two tails) = {TT}
Therefore, the probability of getting exactly two heads = 1/4
4. Answer: (c) Experimental probability
Explanation: Empirical probability is also known as experimental probability.
5. Answer: (b) 1/3
Explanation: Total balls = 4 green + 2 red = 6 balls
No. of red balls = 2.
Hence, the probability of getting the red balls = 2/6 = 1/3
6. Answer: (d) 1.3
Explanation: The probability of an event always lies between 0 and 1.
7. Answer: (c) 1/13
Explanation: Total cards = 52
Number of queens in a pack of 52 cards = 4
Hence, the probability of drawing a queen from a deck of 52 cards = 4/52 = 1/13.
8. Answer: (d) 27
Explanation: The two odd days can be {Sunday,Monday},{Monday,Tuesday},{Tuesday,Wednesday}, Wednesday,Thursday},{Thursday,Friday},{Friday,Saturday},{Saturday,Sunday}.
So there are 7 possibilities out of which 2 have a Sunday. So the probability of 53 Sundays in a leap year is 2/7.
9. Answer: (a) 3/26
Explanation: In a deck of 52 cards, there are 12 face cards i.e. 6 red (3 hearts and 3 diamonds) and 6 black cards (3 spade and 3 clubs)
So, probability of getting a red face card = 6/52 = 3/26
10. Answer: (b) 2/3
Explanation: In a single throw of dice, we get 1,2,3,4,5 or 6.
No. of total outcomes =6
Even number or a multiple of 3 are 2,3,4,6
Favourable no. of outcomes = 4
P(even number or multiples of 3)= 4/6=2/3
11. Answer: (b) 1
12. Answer: (d) 0
13. Answer: (a) 1/5
Explanation: S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
Multiples of 4 from the sample space = {4, 8, 12}
Therefore, the probability of the selected number is a multiple of 5 is 3/15 = 1/5.
14. Answer: (b) 1/26
Explanation: In a pack of 52 cards, there are a total of 4 king cards, out of which 2 are red and 2 are black.
Therefore, in a red suit, there are 2 king cards.
Hence, the probability of getting a king of red suits = 2/52 = 1/26.
15. Answer: (b) Trial
Explanation: Performing an event once is called a trial.
16. Answer: (c) 1/3
Explanation: Sample space, S = {1, 2, 3, 4, 5, 6}
Favourable outcomes = {1, 3}
Therefore, the probability of getting an odd number less than 4 = 2/6 = 1/3.
17. Answer: (d) 9/25
Explanation: Probability = 72/200 = 9/25
18. Answer: (d) 4/5
Explanation: No. of boundaries = 6
No. of balls = 30
No. of balls without boundaries = 30 – 6 =24
Probability of no boundary = 24/30 = 4/5
19. Answer: (a) 0.7
Explanation: Probability of an event not happening = 1 – P(E)
P(not E) = 1 – 0.3 = 0.7
20. Answer: (a) 0.62
Explanation: P(not E) = 1 – P(E) = 1-0.38 = 0.62
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