Question

If you flip a coin and roll a 6-sided die, what is the probability that you will flip a heads and roll a 1

Answer 1

P(H)=1/2, P(1)=1/6

P(H and 1)=(1/2)(1/6)=1/12 (≈8.33%)

Answer 2

1/12

Explanation:

Flipping a heads and rolling a 1 are independent event, they don't affect each other. So, to get the probability of both happening, we just need to multiply the probability of one y the probability of each other.

The probability of flipping a heads is 1/2.

The probability of rolling a 1 is 1/6, since there is 1 outcome which satisfies our condition (namely, 1), and 6 total possible outcomes.

So, the probability of both these events happening is 1/2*1/6=1/12

Hope this helps :) !