Answer:
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,
[tex]=\frac{n(A)}{n(S)}[/tex]Substitute the values we get,
[tex]=\frac{5}{16}[/tex]Answer is: Probability that the card has a multiple of 3 is 5/16.
