CBSE Important Questions

Mathmatics Class X

Group A (1 mark each)

Q. 1. A die is thrown once. Find the probability of getting 3 or 4.

Q. 2. If the probability of winning a game is 0.7, find the probability of losing it.

Q. 3. One card is drawn at random from a well shuffled deck of 52 cards. Find the probability of getting a king of red suit.

Q. 4. A bag contains 6 white and 7 red balls. A ball is drawn at random from the bag. Find
the probability that it is a white ball.

Q. 5. Two players A and B play tennis match. It is known that probability of A winning the match is 0.62. Find the probability of B winning the match. "

Q. 6. If P(E’) is 0.99, then find P(E).

Q. 7. A bag contains 5 white and 7 red balls. One ball is drawn at random from the bag. Find the probability that it is either white or red ball.

Q. 8. There are 9 cards bearing numbers 1, 2, 3, ... 8, 9, in a bag. A card is drawn from the bag. Find the probability of getting a card having a multiple of 3.

Q. 9. A bag contains 3 red, 4 blue and 2 yellow balls. A ball is drawn at random from the bag. Find the probability that it is not a yellow ball.

Q. 10. A card is drawn from a well shuffled deck of 52 playing cards. Find the probability that it is not an ace.

Q. 11. A lot of 20 bulbs contain 4 defective bulbs. A bulb is drawn at random from the lot. Find the probability of having a good bulb.

Group B (2 or 3 marks)

Q. 12. A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be

  1. red
  2. white
  3. not green.

Q. 13. A bag contains 20 cards numbering from 1, 2, 3, ...,20. One card is drawn at random from the bag. Find the probability that if has a prime number on it.

Q. 14. It is known that a box of 600 screws, 12 screws are defective. One screw is taken out at random from this box. Find the probability that it is a good screw.

Q. 15. In 1000 lottery tickets there are 5 prize winning tickets. Find the probability of winning a prize if a person buys one ticket. "

Q. 16. A card is drawn at random from a pack of cards. Find the probability of having

  1. a face card
  2. a black face card.

Group A (1 mark each)

Q. 1. A die is thrown once. Find the probability of getting 3 or 4.

Q. 2. If the probability of winning a game is 0.7, find the probability of losing it.

Q. 3. One card is drawn at random from a well shuffled deck of 52 cards. Find the probability of getting a king of red suit.

Q. 4. A bag contains 6 white and 7 red balls. A ball is drawn at random from the bag. Find
the probability that it is a white ball.

Q. 5. Two players A and B play tennis match. It is known that probability of A winning the match is 0.62. Find the probability of B winning the match. "

Q. 6. If P(E’) is 0.99, then find P(E).

Q. 7. A bag contains 5 white and 7 red balls. One ball is drawn at random from the bag. Find the probability that it is either white or red ball.

Q. 8. There are 9 cards bearing numbers 1, 2, 3, ... 8, 9, in a bag. A card is drawn from the bag. Find the probability of getting a card having a multiple of 3.

Q. 9. A bag contains 3 red, 4 blue and 2 yellow balls. A ball is drawn at random from the bag. Find the probability that it is not a yellow ball.

Q. 10. A card is drawn from a well shuffled deck of 52 playing cards. Find the probability that it is not an ace.

Q. 11. A lot of 20 bulbs contain 4 defective bulbs. A bulb is drawn at random from the lot. Find the probability of having a good bulb.

Group B (2 or 3 marks)

Q. 12. A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be

  1. red
  2. white
  3. not green.

Q. 13. A bag contains 20 cards numbering from 1, 2, 3, ...,20. One card is drawn at random from the bag. Find the probability that if has a prime number on it.

Q. 14. It is known that a box of 600 screws, 12 screws are defective. One screw is taken out at random from this box. Find the probability that it is a good screw.

Q. 15. In 1000 lottery tickets there are 5 prize winning tickets. Find the probability of winning a prize if a person buys one ticket. "

Q. 16. A card is drawn at random from a pack of cards. Find the probability of having

  1. a face card
  2. a black face card.

Q. 17. A bag contains 3 red, 4 white and 5 black balls. One ball is drawn at random from the bag. Find the probability that it i s not red.

Q. 18. One card is drawn at random from a pack of cards. Find the probability that it is a black card.

Q. 19. The king, queen and jack of clubs are removed from a deck of 52 cards. Then the cards are well shuffled. One card is drawn at random from the remaining cards. Find the probability of getting

  1. a heart
  2. a king
  3. a club
  4. a 'six' of heart

Q. 20. Find the probability that a leap year has 53 Sundays.

Q. 21. 12 defective pens are accidentally mixed with 132 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Find the probability that the pen taken out is a good one.

Q. 22. A die in the shape of tetrahedron has four faces on which 3,4, 6 and 8 are written. The die is rolled once. Find the probability of getting

  1. a prime number
  2. a number less than 6.
Submitted By: Mr. Manoj Rajurkar
Email Id: [email protected]
Mobile: +91 - 919425354446