Question

You roll a 6-sided die two times. What is the probability of rolling a divisor of 16 and then rolling a number less than 2? Simplify your answer and write it as a fraction or whole number.

Answer 1

1/12

Step-by-step explanation:

The divisor of 16 are: 1, 2, and 4

So, the probability of rolling a divisor of 16 is:

P = 3/6

Because there are 6 options and 3 of them are divisors of 16.

In the same way, there is only one number that is less than 2, so the probability of rolling a number less than 2 is:

P = 1/6

Finally, the probability of rolling a divisor of 16 and then rolling a number less than 2 is:

`P=(3)/(6)*(1)/(6)=(3*1)/(6*6)=(3)/(36)=(1)/(12)`

Therefore, the answer is 1/12