TWO NUMBER CUBES AREROLLED AT THE SAME TIME . WHAT IS THE PROBABILITY THTA BOTH NUMBER CUBES WILL SHOW AN EVEN NUMBER

six sides, each with three even numbers?

Pr(even,even)= 3/6 * 3/6

To find the probability that both number cubes will show an even number when rolled at the same time, we need to know the total number of possible outcomes and the number of favorable outcomes.

Total Number of Possible Outcomes:
When two number cubes are rolled, each cube has 6 possible outcomes (numbers 1 to 6). Since there are two cubes, the total number of possible outcomes is 6 x 6 = 36.

Favorable Outcomes:
To get an even number, we need either a 2, 4, or 6 on each cube. Since there are 3 even numbers (2, 4, and 6), there are 3 x 3 = 9 favorable outcomes.

Probability:
The probability is the ratio of the number of favorable outcomes to the number of total outcomes.

Probability = Number of Favorable Outcomes / Number of Total Outcomes
Probability = 9 / 36
Probability = 1/4

Therefore, the probability that both number cubes will show an even number is 1/4.