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Find the probabilities of the events given in Question 2 (When a die is thrown, list the outcomes of an event of getting (i) (a) a prime number (b) not a prime number (ii) (a) a number greater than 5 (b) a number not greater than 5.)

Solution:

We know that,

Probability = Number of favorable outcomes/Total number of outcomes

When a die is thrown, there are a total of six outcomes, i.e., 1, 2, 3, 4, 5, and 6.

(i) (a) 2, 3, 5 are prime numbers. So, there are 3 outcomes out of 6.

Therefore, the probability of getting a prime number = 3/6 = 1/2

(b) 1, 4, 6 are not the prime numbers. So, there are 3 outcomes out of 6.

Therefore, the probability of getting a prime number = 3/6 = 1/2

(ii) (a) Only 6 is greater than 5. So, there is 1 outcome out of 6.

Therefore, the probability of getting a number greater than 5 = 1/6

(b) Numbers not greater than 5 are 1, 2, 3, 4, and 5. So there are 5 outcomes out of 6.

Therefore, the probability of not getting a number not greater than 5 = 5/6

☛ Check: Class 8 Maths NCERT Solutions Chapter 5

Video Solution:

Find the probability of the events given in Question 2

NCERT Solutions for Class 8 Maths Chapter 5 Exercise 5.3 Question 6

Summary:

The probability of the events given in question 2 are (i) (a) 1/2, (b) 1/2 and (ii) (a) 1/6, and (b) 5/6

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