The number cube has 6 sides, so it can produce 6 possible outcomes on each roll. To find the probability of rolling an even number followed by a number that is not 2, we need to first determine how many of the possible outcomes satisfy those conditions.
1. There are three even numbers on the cube: 2, 4, and 6.
2. There are two numbers that are not 2: 1, 3, 4, 5, and 6.
To calculate the probability of rolling an even number followed by a number that is not 2, we need to multiply the probabilities of each individual event.
P(even, then not 2) = P(even) x P(not 2|even)
P(even) = 3/6 = 1/2 (since there are 3 even numbers out of 6 possible outcomes)
P(not 2|even) = 4/5 (since there are 4 possible outcomes that are not 2 out of a total of 5 remaining outcomes after rolling an even number)
P(even, then not 2) = (1/2) x (4/5) = 2/5
Therefore, the probability of rolling an even number followed by a number that is not 2 is 2/5 in simplest form.
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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.
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