CBSE Class 10 Mathematics Probability Assignment Set 11

Question. One Card is drawn from a well shuffled deck of 52 Cards. If each outcome is equally likely, Find the probability that the Card will be
(i) a heart
(ii) not an ace
(iii) a red Card
(iv) not a diamond
Answer: (i) \( \frac{1}{4} \)
(ii) \( \frac{12}{13} \)
(iii) \( \frac{1}{2} \)
(iv) \( \frac{3}{4} \)

Question. A bag contains 9 marbles of which 4 are red , 3 are blue and 2 are yellow. The marbles are similar in shape and size. A marble is drawn at random from the bag. Calculate the probability that it will be
(i) Red
(ii) yellow
(iii) Blue
(iv) not blue
(v) Either red or yellow.
Answer: (i) \( \frac{4}{9} \)
(ii) \( \frac{2}{9} \)
(iii) \( \frac{1}{3} \)
(iv) \( \frac{2}{3} \)
(v) \( \frac{2}{3} \)

Question. A Coin is tossed twice, What is the probability that atleast one tail occurs?
Answer: \( \frac{3}{4} \)

Question. If \( \frac{7}{13} \) is the probability of an event, What is the probability of the event, 'not A'-
Answer: \( \frac{6}{13} \)

Question. Three coins are tossed once. Find the probability of at most two heads.
Answer: \( \frac{7}{8} \)

Question. A pair of dice is thrown once. Find the probability of getting doublet of even numbers
Answer: \( \frac{1}{12} \)

Question. A pair of dice is thrown once. Find the probability of an odd number on one die and 2 on the other.
Answer: \( \frac{1}{6} \)

Question. A pair of dice is thrown once. Find the probability that the sum of the numbers appearing on two dice is 7
Answer: \( \frac{1}{6} \)

Question. Three dice are thrown once. Find the probability of getting a sum total of 10
Answer: \( \frac{1}{8} \)

Question. A pair of dice is thrown once. Find the probability of getting at most 10.
Answer: \( \frac{11}{12} \)