Page 1
23. Probability
EXERCISE 23
Question 1.
A die is thrown, find the probability of getting:
(i) a prime number
(ii) a number greater than 4
(iii) a number not greater than 4.
Solution:
A die has six numbers : 1, 2, 3, 4, 5, 6
? Number of possible outcomes = 6
Page 2
23. Probability
EXERCISE 23
Question 1.
A die is thrown, find the probability of getting:
(i) a prime number
(ii) a number greater than 4
(iii) a number not greater than 4.
Solution:
A die has six numbers : 1, 2, 3, 4, 5, 6
? Number of possible outcomes = 6
Question 2.
A coin is tossed. What is the probability of getting:
(i) a tail? (ii) ahead?
Solution:
On tossing a coin once,
Number of possible outcome = 2
Question 3.
A coin is tossed twice. Find the probability of getting:
(i) exactly one head (ii) exactly one tail
(iii) two tails (iv) two heads
Solution:
Page 3
23. Probability
EXERCISE 23
Question 1.
A die is thrown, find the probability of getting:
(i) a prime number
(ii) a number greater than 4
(iii) a number not greater than 4.
Solution:
A die has six numbers : 1, 2, 3, 4, 5, 6
? Number of possible outcomes = 6
Question 2.
A coin is tossed. What is the probability of getting:
(i) a tail? (ii) ahead?
Solution:
On tossing a coin once,
Number of possible outcome = 2
Question 3.
A coin is tossed twice. Find the probability of getting:
(i) exactly one head (ii) exactly one tail
(iii) two tails (iv) two heads
Solution:
Question 4.
A letter is chosen from the word ‘PENCIL’ what is the probability that the letter chosen is
a consonant?
Solution:
Total no. of letters in the word ‘PENCIL = 6
Total Number of Consonant = ‘PNCL’ i.e. 4
Page 4
23. Probability
EXERCISE 23
Question 1.
A die is thrown, find the probability of getting:
(i) a prime number
(ii) a number greater than 4
(iii) a number not greater than 4.
Solution:
A die has six numbers : 1, 2, 3, 4, 5, 6
? Number of possible outcomes = 6
Question 2.
A coin is tossed. What is the probability of getting:
(i) a tail? (ii) ahead?
Solution:
On tossing a coin once,
Number of possible outcome = 2
Question 3.
A coin is tossed twice. Find the probability of getting:
(i) exactly one head (ii) exactly one tail
(iii) two tails (iv) two heads
Solution:
Question 4.
A letter is chosen from the word ‘PENCIL’ what is the probability that the letter chosen is
a consonant?
Solution:
Total no. of letters in the word ‘PENCIL = 6
Total Number of Consonant = ‘PNCL’ i.e. 4
Question 5.
A bag contains a black ball, a red ball and a green ball, all the balls are identical in
shape and size. A ball is drawn from the bag without looking into it. What is the
probability that the ball drawn is:
(i) a red ball
(ii) not a red ball
(iii) a white ball.
Solution:
Total number of possible outcomes = 3
Question 6.
6. In a single throw of a die, find the probability of getting a number
(i) greater than 2
(ii) less than or equal to 2
(iii) not greater than 2.
Solution:
A die has six numbers = 1, 2, 3, 4, 5, 6
Page 5
23. Probability
EXERCISE 23
Question 1.
A die is thrown, find the probability of getting:
(i) a prime number
(ii) a number greater than 4
(iii) a number not greater than 4.
Solution:
A die has six numbers : 1, 2, 3, 4, 5, 6
? Number of possible outcomes = 6
Question 2.
A coin is tossed. What is the probability of getting:
(i) a tail? (ii) ahead?
Solution:
On tossing a coin once,
Number of possible outcome = 2
Question 3.
A coin is tossed twice. Find the probability of getting:
(i) exactly one head (ii) exactly one tail
(iii) two tails (iv) two heads
Solution:
Question 4.
A letter is chosen from the word ‘PENCIL’ what is the probability that the letter chosen is
a consonant?
Solution:
Total no. of letters in the word ‘PENCIL = 6
Total Number of Consonant = ‘PNCL’ i.e. 4
Question 5.
A bag contains a black ball, a red ball and a green ball, all the balls are identical in
shape and size. A ball is drawn from the bag without looking into it. What is the
probability that the ball drawn is:
(i) a red ball
(ii) not a red ball
(iii) a white ball.
Solution:
Total number of possible outcomes = 3
Question 6.
6. In a single throw of a die, find the probability of getting a number
(i) greater than 2
(ii) less than or equal to 2
(iii) not greater than 2.
Solution:
A die has six numbers = 1, 2, 3, 4, 5, 6
? Number of possible outcomes = 6
Question 7.
A bag contains 3 white, 5 black and 2 red balls, all of the same shape and size.
A ball is drawn from the bag without looking into it, find the probability that the ball
drawn is:
(i) a black ball.
(ii) a red ball.
(iii) a white ball.
(iv) not a red ball.
(v) not a black ball.
Solution:
In a bag, 3 balls are white
2 balls are red
5 balls are black
Total number of balls = 3 + 2 + 5 = 10
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