Your rolling a die, what is the probability that you roll an even number the first time, and a number greater than 5 the second time. Use fractions.
When rolling a fair die, there are 6 equally likely outcomes: 1, 2, 3, 4, 5, and 6.
To determine the probability of rolling an even number the first time, we need to count the favorable outcomes and divide it by the total number of possible outcomes.
The favorable outcomes are the even numbers: 2, 4, and 6. So, there are 3 favorable outcomes.
Therefore, the probability of rolling an even number the first time is 3/6, which simplifies to 1/2.
Now, we want to find the probability of rolling a number greater than 5 the second time. The favorable outcome for this is rolling a 6.
So, the probability of rolling a number greater than 5 the second time is 1/6.
To find the probability of both events occurring together, we multiply their probabilities:
Probability of rolling an even number the first time and a number greater than 5 the second time = 1/2 × 1/6 = 1/12.
Therefore, the probability of rolling an even number the first time and a number greater than 5 the second time is 1/12.