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 :

Answer:

1/12

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:

[tex]P=\frac{3}{6}\times\frac{1}{6}=\frac{3\times1}{6\times6}=\frac{3}{36}=\frac{1}{12}[/tex]

Therefore, the answer is 1/12

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