Arlo rolls a number cube three times. what is the chance the number cube
will land on an even number all three times?

Probability = 1/8.

Step-by-step explanation:

A number cube has six sides. Each side has a number from 1 to 6. This means that there are 3 even numbers (2, 4, and 6) and 3 odd numbers (1, 3, and 5). Therefore:

P(number cube lands on an even number after roll) = Number of even numbers/Number of total numbers. = 3/6 = 1/2.

Since the cube has to be rolled three times, the probability will be multiplied 3 times (assuming that each roll in independent of each other). Therefore:

P(number cube lands on an even number 3 times after roll) = 1/2 * 1/2 * 1/2 = 1/8.

Therefore, the answer is 1/8!!!