Question

A bag contains 16 cards numbered 1 through 16. A card is randomly chosen from the bag. What is the probability that the card has a multiet of 3 on it?write your answer as a fraction insimplest form.

Answer 1

Given that,

A bag contains 16 cards numbered 1 through 16

To find the probability that the card has a multiple of 3 on it

Let A be the event of the probability that the card has a multiple of 3 on it

we get,

A={3,6,9,12,15}

Number of possibliles of the event A n(A)=5

Total number of possibilities n(S)=16

Probability that the card has a multiple of 3 is,

`=(n(A))/(n(S))`

Substitute the values we get,

`=(5)/(16)`

Answer is: Probability that the card has a multiple of 3 is 5/16.