An integer is chosen at random from the ten positive integer. Find the pobability it is
(i)an even number (ii)multiples of three

Answer

The sample space is
`S= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}`, `n(S) = 10`
Let `A` be the event of choosing an even number and
`B` be the event of choosing an integer multiple of three.
`A= [2, 4, 6, 8, 10]`, `n(A)=5`
`B= {3, 6, 9}`, `n(B)=3`
(i) P(choosing an even integer) = P(A) =`(n(A))/(n(S))=(5)/(10)=(1)/(2)`
(ii)P(choosing an integer multiple of three) =`P(B)=(n(B))/(n(S))=(3)/(10)`