A coin is tossed and a standard number cube is rolled what is the probability that the coin shows heads and the number cube shows and even number

The probability of the coin showing heads is 1/2 and the probability of the number cube showing an even number is 1/2 since there are three even numbers (2, 4, and 6) and three odd numbers (1, 3, and 5) on a standard number cube. Therefore, the probability of both events happening simultaneously is:

1/2 x 1/2 = 1/4

So the probability that the coin shows heads and the number cube shows an even number is 1/4 or 0.25.