If a coin is tossed and a number cube is rolled, what is the probability that the coin shows heads and the number cube shows 3
A:1/2
B:1/9
C:1/6
D:1/12
I think the answer is D. thank you
yes, 1/2 * 1/6 = 1/12
To find the probability of two independent events occurring together, you multiply the probabilities of each event.
In this case, the probability of the coin showing heads is 1/2, since there are two possible outcomes (heads or tails) and each outcome is equally likely.
Similarly, the probability of the number cube showing 3 is 1/6, as there are six possible outcomes (numbers 1 through 6) and each is equally likely.
To find the probability of both events occurring, you multiply the probabilities:
P(heads and 3) = P(heads) x P(3) = 1/2 x 1/6 = 1/12.
Therefore, the correct answer is D: 1/12.