Question

17 cards numbered {1, 2, 3, 4, ...15, 16, 17} are put in a box and mixed thoroughly. One

person draws a card from the box. Find the probability that the number on the card is:
.
an odd number.
a prime number
a number that is divisible by 3.

Answer 1

Odd number: 8/17 chance (not including 1 as odd) 9/17 if you're including 1

Prime number: 8/17 chance

Divisible by 3: 5/17 chance

Explanation:

There are 8 odd numbers (not including 1) out of 17 total numbers.

There are 8 prime numbers out of 17 total numbers.

The are 5 numbers divisible by 3 out of 17 total numbers.

Hope this helps!