Math: Exploring Probability Unit test Part 2
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You roll a number cube twice. Find P(even, then not 2) Write the probability as a fraction in simplest form.
There are 6 possible outcomes when rolling a number cube: 1, 2, 3, 4, 5, or 6.
To find P(even, then not 2), we need to first identify the possible outcomes that satisfy these conditions.
The even numbers on a number cube are 2, 4, and 6. So, if we roll an even number on the first roll, we can still get a not 2 on the second roll by rolling either a 1, 3, 4, 5, or 6.
There are 3 even numbers, and each has a 5/6 probability of not rolling a 2 on the second roll. So, the probability of rolling an even number on the first roll and not rolling a 2 on the second roll is:
P(even, then not 2) = (3/6) x (5/6) = 15/36 = 5/12
Therefore, the probability of rolling an even number on the first roll and not rolling a 2 on the second roll is 5/12.