Question

QI7 A die is thrown.find the probability of getting
i) a multiple of 2 or 3
ii) an even prime number​

Answer 1

1 favorable condition are 2,3,4,6

total outcomes are 6

probability of getting a multiple of 2 or 3 =4/6 =2/3

2 favorable condition are 2

total outcomes are 6

probability of getting an even prime number =1/6

Answer 2

S = { 1 , 2, 3, 4 , 5 , 6 }

n ( S ) = 6

let A is the event of getting multiple of 2 or 3

A = { 2, 3 , 4 ,6 }

n ( A ) = 4

P ( A ) = n (A ) / n ( S )

= 4/ 6

= 2/3

let B is the event of getting an even prime no.

B = { 2 }

n ( B )= 1

P ( B ) = n( B ) / n ( S )
= 1 / 6