## Probability Important Questions

**1. In an experiment there are only two possible outcomes. The probability of each outcome is 1/2 Is it true ? Give reason.**

**2. Two dice are thrown simultaneously. List the sample space for this experiment.**

**3. The king, Queen and Jack of clubs are removed from a deck of 52 playing cards and then well shuffled. One card is selected from the remaining cards. What is the probability of getting a heart?**

**4. A girl tosses a coin 3 times and gets a tail each time. Do you think that the outcome of next toss will be a tail? Justify your answer.**

**5. I toss three coins together. The possible outcomes are no heads, 1 head, 2 heads and 3 heads. So, I say that probability of no heads is 1 /4 . What is wrong with this conclusion?**

**6. A card is drawn at random from an ordinary pack of 52. What is the probability that the card is an black king?**

**7. One number is chosen at random from the whole numbers 1 to 100 inclusive. What is the probability that the number has two digits?**

**8. Two dice are thrown together. Find the probability that the sum of the digits showing on the top faces of the dice is less than 5.**

**9. Find the probability that the month of February may have 5 Sundays in a leap year.**

**10. A girl throws a die and squares the number that appears on it. A boy throws two dice once and computes the product of numbers appearing on the dice. Who has the better chance of getting the numbers 36. Give reason.**

**also read:-arithmetic progression**

**11. A coin is tossed 6 times and on each occasion a head is obtained. Can we say that the probability of getting a head is 1? Give reasons.**

**12. Three unbiased coins are tossed together. Find the probability of getting either all heads or all tails.**

**13. Two dice are thrown simultaneously. Find the probability that the difference of the numbers on the two dice is 2.**

**14. A coin is tossed two times. Find the probability of getting at most one head.**

**15. A letter of English alphabet is chosen at random. Determine the probability that the letter is a consonant**

**.B. Questions From CBSE Examination Papers**

**1. A bag contains 14 balls, of which x are white. If 6 more white balls are added to the bag, the probability of drawing a white ball is 1 /2 . Find the value of x.**

**2. Cards marked with numbers 13, 14, 15, ......... 60 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that the number on the card is :**

**(a) divisible by 5**

**(b) a number which is a perfect square.**

**3. A die is thrown once. Find the probability of getting :**

**(a) a prime number**

**(b) a number less than 6**

**4. A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 and these are equally likely outcomes. What is the probability that it will point at**

**(a) a prime number ? (b) a factor of 8 ?**

**5. A card is drawn at random from a pack of well shuffled deck of playing cards. Find the probability**

**that the card is :**

**(a) a king or a jack**

**(b) a card of spade or an ace**

**6. A bag contains 2 green, 3 red and 4 black balls. A ball is taken out of the bag at random. Find the probability that the selected ball is (a) not green (b) not black.**

**7. A bag contains cards numbered from 2 to 26. One card is drawn from the bag at random. Find the probability that it has a number divisible by both 2 and 3.**

**8. In a leap year, find the probability that there are 53 Tuesdays in the year.**

**9. One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a red face card.**

**10. Two dice are thrown simultaneously. Find the probability that the sum of the two numbers appearing on their tops is less than or equal to 10.**

**11. A card is drawn at random from a well shuffled pack of 52 cards. Find the probability that the card drawn is neither a red card nor a queen.**

**12. A bag contains 5 red, 8 green and 7 white balls. One ball is drawn at random from the bag. Find the probability of getting neither a green ball nor a red ball.**

**13. A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball from the bag is thrice that of a red ball, find the number of blue balls in the bag.**

**14. Two dice are thrown once. Find the probability of obtaining :**

**(a) a total of 6 of numbers on both dice.**

**(b) the same number on both dice.**

**15. From a group of 2 boys and 2 girls, two children are selected at random. What is the sample space representing the event. Find the probability that one boy and one girl is selected.**

**16. A letter is chosen at random from the English alphabet. Find the probability that it is (a) a vowel (b) a consonant**

**17. A fair coin is tossed thrice Find the probability of getting.**

**(a) No heads (b) at least one head.**

**18. A box contains cards numbered from 1 to 17. If one card is drawn at random from the box, find the probability that it bears a prime number.**

**19. From a deck of playing cards all spades are removed, a card is drawn at random from the remaining cards. Find the probability that it is a :**

**(a) red card (b) black face card**

**20. A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability that**

**card drawn is :**

**(a) spade or an ace**

**(b) neither king nor queen**

**21. Form a deck of playing cards all aces and clubs are removed, a card is drawn at random from the remaining cards. Find the probability that it is :**

**(a) a black face card. (b) a red card**

**22. A bag contains cards numbered 3 to 102, one card is drawn at random. Find the probability that it**

**is :(a) an even number**

**(b) a number divisible by 5**

**23. Two dice are thrown together. Determine the probability of 2 coming on the first die and multiple of 3 on other die.**

**24. Geeta and Sita are friends. What is the probability that both will have**

**(a) different birthdays ? (b) the same birthday ? (ignoring a leap year)**

**25. A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is :**

**(a) black or white (b) not black**

**Read more topics**

Basic-trigonometry-identities

Application of Trigonometry

Area of shaded region

Graphing-linear-inequalities solving

Introduction-of-co-ordinate-geometry

Probability

Materials-metals-and-non-metals

Quadratic-equation-word-problems

Trignometry-solved-questions

Surface-areas-and-volumes

Sequence

Linear-equations

Sample paper 1

Sample paper 2

Sample paper 3

Sample paper 4

Circle (Important Question)

**Arithmetic Progression**

circle (hindi)

Probability (hindi)