Marbles, Coin and Die

Puzzle

If I have:
a normal coin with a heads and tails;
a 6-sided die;
and a bag containing 4 blue and 2 red marbles,
what is the probability of me flipping a heads, rolling a 4, and picking out a red marble?

Solution

Probability of flipping a heads: 1/2
Probability of rolling a 4: 1/6
Probability of selecting a red marble: 2/6

Then multiply the results, so:
1/2 x 1/6 x 2/6= 1/36 or 0.027 to 3 decimal places