What is the probability of flipping a fair coin and it landing on heads and rolling a 3 on a fair six sided die?
To find the probability of two independent events occurring, you need to multiply their individual probabilities.
The probability of flipping a fair coin and landing on heads is 1/2, as there are two equally likely outcomes (heads or tails) and one favorable outcome (heads).
The probability of rolling a 3 on a fair six-sided die is 1/6, as there are six equally likely outcomes (numbers 1 to 6) and one favorable outcome (getting a 3).
To find the probability of both events happening together, you multiply:
(1/2) * (1/6) = 1/12
Therefore, the probability of flipping a fair coin and it landing on heads and rolling a 3 on a fair six-sided die is 1/12 or 0.0833 (rounded to four decimal places).