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, or 0.5.

The probability of rolling a three on a fair six-sided die is 1/6, or approximately 0.167.

To find the probability of both events occurring, you multiply the probabilities together:

0.5 (probability of flipping heads) x 0.167 (probability of rolling a three) = 0.0833

Therefore, the probability of flipping a fair coin and landing on heads and rolling a three on a fair six-sided die is approximately 0.0833, or 8.33%.