A coin is tossed and a standard number cube is rolled. What is the probability that the coin shows heads and the number cube shows an even number?

1/4

1/6
1
1/2

i think the answer is 1/4

Right

You're welcome.

thx u

To find the probability that the coin shows heads and the number cube shows an even number, we need to determine the number of favorable outcomes and the total number of possible outcomes.

Let's start with the coin toss. When flipping a fair coin, there are two possible outcomes: heads (H) or tails (T). Since we're interested in heads, there is only one favorable outcome for the coin.

Next, let's consider the number cube. When rolling a standard number cube, there are six possible outcomes: 1, 2, 3, 4, 5, or 6. Half of these numbers (2, 4, and 6) are even. So, there are three favorable outcomes for the number cube.

To find the probability, we multiply the probabilities of the individual events because the coin toss and the number cube roll are independent events. The probability of heads on the coin is 1/2, and the probability of an even number on the number cube is 3/6 = 1/2.

Therefore, the probability of getting heads on the coin AND an even number on the number cube is (1/2) * (1/2) = 1/4.

So, your answer of 1/4 is correct.