Question

What is the probability of obtaining a number less than 3 and a tails when rolling a fair six-sided die and flipping a fair coin?

A) 1/12
B) 1/8
C) 1/6
D) 1/4

Answer 1

The probability of rolling a number less than 3 on a six-sided die and flipping tails on a coin is 1/12, as these are independent events and their probabilities are multiplied to find the combined outcome.

Step-by-step explanation:

The question asks for the probability of rolling a number less than 3 (which would be either 1 or 2) and flipping tails on a fair coin. The probability of rolling a number less than 3 is 2 out of 6, because there are 6 sides on the die and 2 of those sides are less than 3. The probability of flipping tails with a fair coin is 1 out of 2, since a coin has two sides and only one of them is tails.

To find the combined probability of both independent events happening, we multiply the probabilities of each event. So, we calculate (2/6) * (1/2) = 1/6 * 1/2 = 1/12. Therefore, the probability of rolling a number less than 3 and flipping tails is 1/12, which corresponds to option A) 1/12.