Calculating Probability: Coin and Die Tossing Scenarios

[e3027]

A fair coin is tossed. If the upface is a head, the coin is tossed again. If the upface is a tail, then a fair die is tossed.

1. Find P(2heads)
2. Find p(an even number appears)



2. Homework Equations ..none



My attempt at a solution...Probability of getting 1 head is 1/2. So two heads would be 1/2 times 1/2=1/4? And I have no idea for the 2nd question...please help!

 

[LCKurtz]

Hint: What two things have to happen for an even number to appear? What are their probabilities? So...

 

[e3027]

To get an even number, the upface should be tail (p=1/2) and roll an even number on a fair die (1/6x3even numbers on a die)... 1/2x1/6x3...so is 1/4 correct?

 

[LCKurtz]

Yes.