CBSE 10 Mathematics Probability Practice Paper 13

1. Find the probability of getting a head when a coin is tossed once. Also find the probability of getting a tail.

2. A bag contains a red ball, a blue ball and a yellow ball, all the balls being of the same size. Kritika takes out a ball from the bag without looking into it. What is the probability that she takes out the

(i) yellow ball? (ii) red ball? (iii) blue ball?

3. Suppose we throw a die once. 

(i) What is the probability of getting a number greater than 4 ? 

(ii) What is the probability of getting a number less than or equal to 4 ?

4. One card is drawn from a well-shuffled deck of 52 cards. Calculate the probability that the card will

(i) be an ace,

(ii) not be an ace.

5. Two players, Sangeeta and Reshma, play a tennis match. It is known that the probability of Sangeeta winning the match is 0.62. What is the probability of Reshma winning the match?

6. A box contains 3 blue, 2 white, and 4 red marbles. If a marble is drawn at random from the box, what is the probability that it will be

(i) white? (ii) blue? (iii) red?

7. Why is tossing a coin considered to be a fair way of deciding which team should get the ball at the beginning of a football game?

8. Which of the following cannot be the probability of an event?

(A)\(\frac{2}{3}\)(B) –1.5 (C) 15% (D) 0.7

9. If P(E) = 0.05, what is the probability of ‘not E’?

10. 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

(i) red ? (ii) white ? (iii) not green?

11. A piggy bank contains hundred 50p coins,  fifty Rs1 coins, twenty Rs2 coins and ten Rs5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin 

(i) will be a 50 p coin ? (ii) will not be a Rs5 coin?

12. 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. Determine the probability that the pen taken out is a good one.

13. A jar contains 24 marbles, some are green and others are blue. If a marble is drawn at random from the jar, the probability that it is green is \(\frac{2}{3}\). Find the number of blue balls in the jar.