Important questions of Maths class 10 chapter 15
CLASS- X
CH- 15 PROBABILITY
- A book consists of 100 pages, numbered 1 to 100. If a page is opened from the book at random, then find the probability that the page has a doublet number.
2. Find the probability that a number selected from the numbers 1 to 25 is not a prime number is equally to be selected
3. Lakshmi tosses two coins simultaneously. Find the probability that she gets atmost one head.
4. Write the probability of a sure event.
5. What is the probability that a non leap year selected at random will contain 53 Sundays.
6. A bag contains 3 red, 5 black and 7 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is
(i) white (ii) red (iii) not black (iv) red or white
7. In a family of 3 children, what is the probability of at least one boy?
8. Two dice are thrown simultaneously. Find the probability of getting:
(i) an even number as the sum (ii) a total of at least 10 (iii) a doublet of even number
(iv) a multiple of 3 as the sum (v) the sum as a prime number.
9. Three unbiased coins are tossed together . Find the probability of getting:
(i) all heads (ii) no heads (iii) at least two heads (iv) at most one tail
10. Red queens and black jacks are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards, after reshuffling them. Find the probability that the card drawn is
(i) a king (ii) of red colour (iii) a face card (iv) a queen
11. A dice is rolled twice. Find the probability that
(i) 5 will not come up either time (ii) 5 will come up exactly one time
12. A card is drawn at random from a well shuffled deck of playing cards. Find the probability that the card drawn is
(i) a card of spade or an ace (ii) a red king
(iii) neither a king nor a queen (iv) either a king or queen
13. A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, find the number of blue balls in the bag.
14. A box contains 20 balls bearing numbers 1,2,3,4,………,20. A ball is drawn at random from the box. What is the probability that the number of the ball is
(i) prime number? (ii) not divisible by 10? (iii) divisible by 2or 3? (iv) divisible by 2 and 4?
15. Cards with numbers 2 to 101 are placed in a box. A card selected at random from the box. Find the probability that the card which is selected has a number which is a perfect square.
16. Out of 300 bulbs in a box, 25 bulbs are defective. One bulb is taken out at random from the box. Find the probability that the drawn bulb is not defective.
17. If two different dice are rolled together. Calculate the probability of getting an even number on both dice.
18. A box contains cards numbered 3,5,7,9,……,35,37. A card is drawn at random from the box. Find the probability that the number on the drawn card is a prime number.
19. A bag contains tickets numbered 11,12,13,….,30. A ticket is taken out from the bag at random. Find the probability that the number on the drawn ticket is
(i) a multiple of 7 (ii) greater than 15 and a multiple of 5.
20. In a cricket match Karan faces 50 balls. He hits 10 fours, 5 sixes and remaining singles in his score of 82 runs. Find the probability that on playing next ball he will (i) hit a four
- make a single run
- not be able to score.
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- Important questions of Maths class 10 chapter 15
Important questions of Maths class 10 chapter 15