CBSE Class 10 Mathematics Probability Assignment Set 12

Question. A bag contains 15 tickets bearing numbers \( 1, 2, 3, 4, \ldots, 15 \). A ticket is drawn from the bag. Find the probability that it bears a prime no.
Answer: \( \frac{2}{5} \)

Question. A class of \( x \) has 20 girls and 15 boys. one student is selected at random. Find the probability that the selected student is a girl.
Answer: \( \frac{4}{7} \)

Question. In a leap year, find the probability that there are 53 Mondays in the year.
Answer: \( \frac{2}{7} \)

Question. A bag contains 25 cards numbered from 1 to 25. One card is drawn from the bag. Find the probability that this card has a number which is divisible by both 2 and 3.
Answer: \( \frac{4}{25} \)

Question. A card is drawn from a pack of cards. Find the probability that it is not a heart.
Answer: \( \frac{3}{4} \)

Question. A bag contains 20 stones numbered from 1 to 20. One stone is drawn from the bag. Find the probability that it bears a prime number.
Answer: \( \frac{2}{5} \)

Question. A card is drawn from a pack of cards. Find the probability that it is jack of spade.
Answer: \( \frac{1}{52} \)

Question. A Die is thrown once. Find the probability of getting a number
(i) is greater than 2
(ii) is less than 6
Answer: (i) \( \frac{2}{3} \), (ii) \( \frac{5}{6} \)

Question. Two dice are thrown once. Find the probability that the sum of numbers appearing on the dice is 8.
Answer: \( \frac{5}{36} \)

Question. A bag contains 5 red ball and some blue balls. If the probability of drawing a blue ball is double that of a red ball, Find number of blue balls in the bag.
Answer: 10