Question

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.

Answer 1

Hint:  Here, we know that the total number of outcomes is 6 when a die is thrown. We will first find the outcomes for each of the cases like for a prime number is 2,3, 5 and similarly for the rest of the case to find the required probability.

Complete step by step solution: 

We know that the possible outcomes are 1, 2, 3, 4, 5, 6.

(i) (a) We know that the prime numbers are 2, 3, 5 when a die is thrown, the number of outcomes of getting a prime number is 3.

It represents that the outcomes of getting a prime number are 2, 3, 5.

(b) Since we know that are not prime numbers are 1, 4, 6, when a die is thrown, the number of outcomes of getting a prime number is 3.

It represents that the outcomes of getting a prime number are 1, 4, 6.

(ii) a) Since we know that is a number is greater than 5, only 6, when a die is thrown, the number of outcomes of getting a number is greater than 5 is 1.

It represents that the outcomes of getting a number are greater than 5 are 1.

b) We also know that are numbers not greater than 5 is 1,2,3,4,5, when a die is thrown, the number of outcomes of getting not greater than 5 is 5.

It represents that the outcomes of getting a number not greater than 5 are 1, 2, 3, 4 and 5.

Note: Probability is nothing but a ratio. A ratio of favourable cases to total cases. Students should know that the total number of outcomes of throwing a die is 6. Then use the given conditions and values given for the favourable cases, to find the required values.