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

`P( \bar E) =(14)/(15)`

Step-by-step 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)= (n(E))/(n(S))`

`P(E)= (4)/(60)`

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

`P( \bar E)= 1 - (4)/(60) = (56)/(60) = (14)/(15)`