Question

Jamar rolls a 6-sided number cube with the numbers 1 through 6 on it. What is the

probability that he does not roll a prime number?​

Answer 1

1/2

Explanation:

the prime numbers between 1 and 6 inclusive are: 2, 3, 5 (i.e 3 possible outcomes)

the non prime numbers are : 1, 4 and 6 (i.e 3 possible outcomes)

for each roll, the total number of possible outcomes is 6 (because its a 6-sided die)

P(does not roll a prime number) = P (rolls 1, 4 or 6)

= number of possible non-prime outcomes / total number of outcomes

= 3/6

= 1/2

Answer 2

`(1)/(2)`

Explanation:

In a 6 sided die, the numbers that are possible to be rolled are

1, 2, 3, 4, 5, and 6.

We know that the numbers 2, 3, and 5 are prime, while 1, 4, and 6 are not.

3 out of the 6 numbers are prime, therefore 3 out of the 6 numbers are not prime.

So the fraction is
`(3)/(6)`

This simplifies to
`(1)/(2)`.

Hope this helped!