You toss a coin and roll a number cube. Find P (heads and an even number)

"and" means summe

P (coin) + P (cube) = 1/2+1/6=0,666667

The chance to get head is always 1/2 no matter how often you toss the coin

And the chance to get a number when you roll a number cube is always 1/6

Did you mean that?

there are 12 possible outcomes.

Heads - 1

Heads - 2

Heads - 3

Heads - 4

Heads - 5

Heads - 6

Tails - 1

Tails - 2

Tails - 3

Tails - 4

Tails - 5

Tails - 6

You want heads AND an even number, so that narrows it down to three.

Heads - 2

Heads - 4

Heads - 6

So thats 3/12 chance, which is simply a 25.00 percent chance.

Much simper way to do so is that are 4 outcomes if you don't count the numbers.

Heads - Even

Heads - Odd

Tails - Even

Tails - Odd

so you can also get 25.0% that way.