Probability Class 10 Extra Questions
Probability Class 10 Extra Questions
CH- 14 PROBABILITY
- If two different dice are rolled together, the probability of getting an even number on both dice is:
(a) 1/36 (b) ½ (c) 1/6 (d) ¼
2. In a family of 3 children, the probability of having atleast one boy is:
(a) 7/8 (b) 1/8 (c) 5/8 (d) 3/4
3. The probability that a non-leap year selected at random will contain 53 Sundays is:
(a) 1/7 (b) 2/7 (c) 3/7 (d) 5/7
4. The probability of passing a certain test is x/24. If the probability of not passing is 7/8
a) 2 b) 3 c) 4 d) 6
5. Two coins are tossed simultaneously. The probability of getting no head is :
a) ¼ b) ½ c) ¾ d) 1
6. A girl calculates that the probability of her winning the prize in a lottery is 0.08. If 6000 tickets are sold, how many tickets has she bought?
a) 40 b) 240 c) 480 d) 750
7. The probability of getting a number less than 5 in a single throw of dice is
a) 1 / 3 b) 2 / 3 c) 0 d) 1 / 6
8. Two coins are tossed simultaneously. The probability of getting atleast one head is :
a) ¼ b) ½ c) ¾ d) 1
9. In a survey, it is found that every fifth person has a vehicle. The probability of a person NOT having a vehicle is
a) 1/5 b) 5% c) 4/5 d) 95%
10. Two dice are thrown together. The probability of getting the difference of numbers on their upper faces equals to 3 is :
a) 1/9 b) 2/9 c) 1/6 d) 12/13
11. 2 cards of heart and 4 cards of spade are missing from a pack of 52 cards. What is the probability of getting a black card from the remaining pack?
12. 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.
13. Find the probability that a number selected from the numbers 1 to 25 is not a prime number.
14. Lakshmi tosses two coins simultaneously. Find the probability that she gets atmost one head.
15. What is the probability that a leap year selected at random will contain 52 Sundays ?
16. 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
17. If a number x is chosen at random from the numbers -3, -2, -1, 0, 1, 2, 3, then find the probability of x2 < 4.
18. 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.
19. 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
20. 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 probability that the card draw is
(i) a king (ii) of red colour (iii) a face card (iv) a queen
21. 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
22. 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
23. 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.
24. 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?
25 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.
26. If two different dice are rolled together. Calculate the probability of getting an even number on both dice.
27. 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.
28. 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.
29. 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 a) hit a four b) make a single run c) not be able to score.
30. Assertion: The probability of getting a bad egg in a lot of 400 is 0.035. The number of bad eggs in the lot is 14.
Reason: If the probability of an event is p, the probability of its complementary event will be 1-p.
CASE STUDY (Probability Class 10 Extra Questions)
Computer based learning (CBL) refers to any teaching method that makes use of computers for information transmission. At an elementary school level, computer applications can be used to display multimedia lesson plans. A survey was done on 1000 elementary and secondary schools of Assam and they were classified by the number of computers they had.
| No.of computers | 1-10 | 11-20 | 21-50 | 51-100 | 101 &more |
| No. of schools | 250 | 200 | 290 | 180 | 80 |
On the basis of above information:
- Find the probability that the school chosen at random has more than 100 computers.
- Find the probability that the school chosen at random has 50 or fewer computers.
- Find the probability that the school chosen at random has no more than 20 computers.
- Find the probability that the school chosen at random has 10 or less than 10 computers.
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Probability Class 10 Extra Questions
Probability Class 10 Extra Questions
Probability Class 10 Extra Questions
Probability Class 10 Extra Questions
Probability Class 10 Extra Questions
Probability Class 10 Extra Questions
Probability Class 10 Extra Questions