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

Answer:

A) $\frac{1}{4}$

B)$\frac{2}{4}$

C)$\frac{2}{4}$

Step-by-step explanation

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

n(S) = 4

multiples of three (a) = {3}

n(a) = 1

probability of a = $\frac{n(a)}{n(S)}$

                         = $\frac{1}{3}$

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

n(b) = 2

probability of b = $\frac{n(b)}{n(S)}$

                         = $\frac{2}{4}$

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

n(c) = 2

probability of c = $\frac{n(c)}{n(S)}$

                         = $\frac{2}{4}$