Question

Probability!
You roll a 6-sided die and toss a coin. What is the probability of rolling a number less than 3 and getting heads?
I also need help with others such as...
If you roll 2 dice what is the probability of rolling a total of 10? <-- How do I find the probability for this?
I know that 2 dice would be 6x6 = 36 so the probability would be something out of 36. But how do I find the numerator of the fraction?

Answer 1

P(1 or 2 and H)=(1/3)*(1/2)

P(sum of 10) = P(4, 6) + P(5, 5) + P(6, 4) = 3/36 = 1/12

Answer 2

Question: Why multiply (1/3) and (1/2)?

Answer 3

rolling a die and flipping a coin are independent events.

=> P(A and B) = P(A)*P(B)