(i) Outcomes of a die are: 1, 2, 3, 4, 5, 5 and 6
Total number of outcome = 6
Prime numbers are: 1, 3 and 5
Total number of prime numbers = 3
Probability of getting a prime number = Total prime numbers/Total number of outcomes
= 3/6
= 1/2
∴ Probability of getting a prime number = 1/2
(ii) Outcomes of a die are: 1, 2, 3, 4, 5, 5 and 6
Total number of outcome = 6
Probability of getting 2 and 4 is Total numbers/Total number of outcomes
= 2/6
= 1/3
∴ Probability of getting 2 and 4 is 1/3
(iii) Outcomes of a die are: 1, 2, 3, 4, 5, 5 and 6
Multiples of 2 and 3 are = 2, 3, 4 and 6
Total number of multiples are 4
Probability of getting a multiple of 2 or 3 is Total numbers/Total number of outcomes
= 4/6
= 2/3
∴ Probability of getting a multiple of 2 or 3 is 2/3
