What is the probability of flipping a fair coin and it landing on heads and rolling a 3 on a fair 6-sided die?
The probability of flipping a fair coin and it landing on heads is 1/2 (or 0.5), since there are 2 equally likely outcomes (heads or tails).
The probability of rolling a 3 on a fair 6-sided die is 1/6, since there is 1 favorable outcome (rolling a 3) out of 6 equally likely outcomes (rolling a 1, 2, 3, 4, 5, or 6).
To find the probability of both events happening, we multiply the individual probabilities together:
1/2 (for flipping heads) * 1/6 (for rolling a 3) = 1/12 (or about 0.0833).
Therefore, the probability of flipping a fair coin and it landing on heads and rolling a 3 on a fair 6-sided die is 1/12 (or about 0.0833).