What is the probability of rolling an even number and then an odd number when rolling two number cubes?
Size of sample spaces =
Number of desired outcomes =
P(first is even and second is odd) =

Answer:

First answer = 36

Second answer = 9

Third answer =1/4

Step-by-step explanation:

The probability of rolling an even number and then an odd number is 1/4.

Probability is simply the chance of getting an event from a sample space. Total probability of all the outcomes in an experiment will be always 1.

Probability of an event can be found by dividing the number of desired outcomes with the total number of outcomes.

Here two number cubes are rolled. Each number cube has total 6 outcomes.

If the sample space consists of all the outcomes of first and second number cubes,

Size of sample space = 6² = 36

We have to find the probability of rolling an even number on the first cube and then an odd number on the second cube.

There are 3 chances of having an even number for the first cube which are 2, 4 and 6.

There are 3 chances of having an odd number for the second cube which are 1, 3 and 5.

Therefore number of desired outcomes = 3² = 9

Probability (first is even and second is odd) = Number of desired outcomes / Size of the sample space

Probability (first is even and second is odd) = 9/36 = 1/4

Hence the probability of getting an even number on the first number cube and then an odd number on the second cube is 1/4.

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