A coin has two sides: heads and tails. A die has six sides, numbered 1 through 6. If you flip the coin and roll the die, what is the probability that you flip ''heads'' and roll a number less than 3?
A) 1/4
B) 5/6
C) 1/6
D) 1/12
There are two possible outcomes for flipping the coin (heads or tails) and two possible outcomes for rolling the die (a number less than 3 or a number greater than or equal to 3).
The probability of flipping heads is 1/2, and the probability of rolling a number less than 3 is 2/6 (since there are two numbers less than 3 out of a total of six numbers on the die).
To find the probability of both events happening, we multiply the individual probabilities:
(1/2) * (2/6) = 1/12.
Therefore, the probability of flipping heads and rolling a number less than 3 is 1/12.
The answer is D) 1/12.