Question

A standard 6 sided die is rolled and a fair coin is tossed. what is the probability of rolling a 2 and tossing heads?

Answer 1

0.0833 or 8.33%

Explanation:

For this problem, we need to use the multiplication rule.

This rule is used for two independent events (they don't influence each other). In this example, we know the events are independent because rolling a 2 on the die will not influence the probability of a coin being heads (the probability will still be 50/50 no matter what the die rolls).

Thus, we need to multiply the probabilities of the two events together to get our answer:

`P(2)*P(H)=P(2nnH)`

Plugging in our values for probability:

`(1/6)*(1/2)=0.0833`

Hope this helps!