Probability Face 1 Tails Die Coin Toss

A student tosses a six-sided die, with each side numbered 1 through 6, and flips a coin. What is the probability that the die will land on the face numbered 1 and the coin will land showing tails?

Since the die has six equally likely outcomes and the coin has two equally likely outcomes, there are a total of 6 x 2 = 12 equally likely outcomes when both events are considered. There is only one way for the die to land on the face numbered 1 and for the coin to land showing tails. Therefore, the probability that this will happen is 1/12 or approximately 0.083 or 8.3%.