Question

1. Mike has four cards numbered one to four. He draws one card and records the number. Calculate the probability that the result will be:

A a multiple of three
B a multiple of two
C a factor of three

Answer 1

A)
`(1)/(4)`

B)
`(2)/(4)`

C)
`(2)/(4)`

Explanation

sample space (S) = {1,2,3,4}

n(S) = 4

multiples of three (a) = {3}

n(a) = 1

probability of a =
`(n(a))/(n(S))`

=
`(1)/(3)`

multiples of two(b) = {2,4}

n(b) = 2

probability of b =
`(n(b))/(n(S))`

=
`(2)/(4)`

factors of three(c) = {1,3}

n(c) = 2

probability of c =
`(n(c))/(n(S))`

=
`(2)/(4)`