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CBSE - Class 10 Mathematics Probability Worksheet

1.
(i) A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?
2.

Complete the following statements: (iv) The sum of the probabilities of all the elementary events of an experiment is            .

3.

A child has a die whose six faces show the letters as given below:

The die is thrown once. What is the probability of getting (i) A?

4.
A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is (ii) not red?
5.
Which of the following experiments have equally likely outcomes? Explain. (iii) A trial is made to answer a true-false question. The answer is right or wrong.
6.

Suppose you drop a die at random on the rectangular region shown in Fig. 14.6. What is the probability that it will land inside the circle with diameter $1$m?

7.

Complete the following statements: (ii) The probability of an event that cannot happen is            . Such an event is called           .

8.
Which of the following arguments are correct and which are not correct? Give reasons for your answer. (ii) If a die is thrown, there are two possible outcomes—an odd number or an even number. Therefore, the probability of getting an odd number is $\frac{1}{2}$.
9.
(ii) Suppose the bulb drawn in (i) is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective ?
10.

Complete the following statements: (iii) The probability of an event that is certain to happen is              . Such an event is called             .

11.
Which of the following experiments have equally likely outcomes? Explain. (ii) A player attempts to shoot a basketball. She/he shoots or misses the shot.
12.
A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears (i) a two-digit number
13.

A child has a die whose six faces show the letters as given below:

The die is thrown once. What is the probability of getting (ii) D?

14.

Gopi buys a fish from a shop for his aquarium. The shopkeeper takes out one fish at random from a tank containing 5 male fish and 8 female fish (see Fig. 14.4). What is the probability that the fish taken out is a male fish?

15.
Five cards—the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random. (i) What is the probability that the card is the queen?
16.
A bag contains lemon flavoured candies only. Malini takes out one candy without looking into the bag. What is the probability that she takes out (ii) a lemon flavoured candy?
17.
A piggy bank contains hundred 50p coins, fifty ` 1 coins, twenty ` 2 coins and ten ` 5 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 (ii) will not be a ` 5 coin?
18.
A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears (ii) a perfect square number
19.

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 (see Fig. 14.5 ), and these are equally likely outcomes. What is the probability that it will point at (i) 8 ?

20.
Five cards—the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random. (ii) If the queen is drawn and put aside, what is the probability that the second card picked up is (a) an ace?

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