Derek flips a coin and rolls a number cube at the same time. Find the probability that the coin came up heads and the number cube roll was evens.
To find the probability that the coin came up heads and the number cube roll was even, we need to consider the total number of possible outcomes
To find the probability that the coin came up heads and the number cube roll was even, we need to consider the total number of possible outcomes.
When flipping a coin, there are 2 possible outcomes: heads or tails.
When rolling a number cube, there are 6 possible outcomes: 1, 2, 3, 4, 5, or 6.
To find the probability of both events occurring, we need to multiply the probabilities of each event happening.
The probability of the coin coming up heads is 1 out of 2, since there is 1 favorable outcome (heads) out of 2 possible outcomes (heads or tails).
The probability of the number cube roll being even is 3 out of 6, since there are 3 favorable outcomes (2, 4, or 6) out of 6 possible outcomes (1, 2, 3, 4, 5, or 6).
To find the overall probability, multiply the individual probabilities:
Probability (heads and even roll) = (1/2) * (3/6) = 1/4
Therefore, the probability that the coin came up heads and the number cube roll was even is 1/4 or 0.25.
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