CBSE Class 10 Mathematics Probability Assignment Set 13

Question. Write the sample space of
(i) Coin is tossed two times
(ii) Coin is tossed three times
(iii) Dice is tossed once
Answer: (i) \( \{HH, TT, HT, TH\} \)
(ii) \( \{HHH, HTT, THT, TTH, TTT, HHT, HTH, THH\} \)
(iii) \( \{1, 2, 3, 4, 5, 6\} \)

Question. A Coin is tossed once. Find the probability of head, hence find the probability of tail.
Answer: \( \frac{1}{2}, \frac{1}{2} \)

Question. A dice is tossed once. Find the probability of
(i) even number
(ii) odd number
(iii) Prime number
(iv) number divisible by 6
Answer: (i) \( \frac{1}{2} \), (ii) \( \frac{1}{2} \), (iii) \( \frac{1}{2} \), (iv) \( \frac{1}{6} \)

Question. Two Coins are thrown once. Find the probability of
(i) two heads
(ii) one tail
Answer: (i) \( \frac{1}{4} \), (ii) \( \frac{2}{4} \)

Question. A dice is tossed two times Find the probability of doublet.
Answer: \( \frac{1}{6} \)

Question. A bag contains 15 balls of two colours 7 white and 8 black. Find the probability of white ball.
Answer: \( \frac{7}{15} \)

Question. A bag contains 3 white, 4 black and 7 green marbles. A marble is drawn from the bag. Find the probability that it is not black.
Answer: \( \frac{10}{14} \)

Question. A Card is drawn from a pack of Cards. Find the probability that it is a card of club.
Answer: \( \frac{1}{4} \)

Question. In a pack of Cards. Find the probability of face Cards
Answer: \( \frac{12}{52} \)

Question. In a non-leap year. Find the probability of getting 53 Sundays.
Answer: \( \frac{1}{7} \)