Question

Pictures from an artists are numbered 1 through 60. What is the probability that the artist will chose a picture that is not a multiple of 13? Provide the final answer as a fraction

Answer 1

ANSWER

$P( \bar E) =\frac{14}{15}$

EXPLANATION

The sample space is S={1,23,4,5,...60}

n(S)=60

The multiples of 13 are:

E={13,26,39,52}

n(E)=4

Probability of choosing a picture that is a multiple of 13 is

$P(E)= \frac{n(E)}{n(S)}$

$P(E)= \frac{4}{60}$

Probability of choosing a picture that is NOT a multiple of 13 is

$P( \bar E)= 1 - \frac{4}{60} = \frac{56}{60} = \frac{14}{15}$