what is the probability of flipping a fair coin, and landing on heads and rolling a three on a fair six sided die
The probability of flipping a fair coin and landing on heads is 1/2 (since there are 2 equally likely outcomes - heads and tails).
The probability of rolling a three on a fair six-sided die is 1/6 (since there are 6 equally likely outcomes - numbers 1 through 6, and only one of them is a three).
To find the probability of both events happening, you multiply the probabilities together:
1/2 * 1/6 = 1/12
Therefore, the probability of flipping a fair coin and landing on heads and rolling a three on a fair six-sided die is 1/12.