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 a 2.
To find the probability that the coin came up heads and the number cube roll was a 2, we need to determine the individual probabilities of each event and multiply them together
To find the probability that the coin came up heads and the number cube roll was a 2, we need to determine the individual probabilities of each event and multiply them together.
The probability of the coin coming up heads is 1/2, as there are two equally likely outcomes – heads or tails – and only one of them is heads.
The probability of the number cube roll being a 2 is 1/6, as there are six equally likely outcomes – the numbers 1 to 6 – and only one of them is a 2.
Now, we can multiply the two probabilities together:
(1/2) * (1/6) = 1/12
Therefore, the probability that the coin came up heads and the number cube roll was a 2 is 1/12 or approximately 0.0833.
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