There are two events that we need to consider here: rolling a number cube and tossing a coin. Both events are independent of each other, meaning the outcome of one does not affect the outcome of the other.
The probability of rolling a number greater than 2 is 4/6 or 2/3, since there are four numbers on a standard number cube that are greater than 2.
The probability of tossing tails on a fair coin is 1/2.
To find the probability of both events happening together, we multiply their probabilities:
2/3 x 1/2 = 1/3
Therefore, the probability of rolling a number greater than 2 and tossing tails is 1/3.
A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than 2 and the coin toss is tails?
Write your answer as a fraction in simplest form.
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