Question

alaynasmh

a number cube is rolled three times. What is the probability of rolling a two each time

Answer 1

Hi alynasmh, and welcome to QuestionCove!
So, we're using a number cube, also known as a six-sided die. In that case, there's a 1/6 chance for any particular number, like 2, to come up.
Now, if we want two 2's in a row, there's a 1/6 chance for the first 2, and a 1/6 chance for the second 2. Since these events are independent of each other, we can find the probability of *both* these events occurring by multiplying the chances of each one. So, rolling two 2's has a probability of (1/6) * (1/6), or 1/36
If we want to roll yet another 2, we'd simply multiply by 1/6 again.
(1/36) * (1/6) = 1/216
So, there's a 1/216 chance of rolling three 2's in a row.

Answer 2

what the percentage?

Answer 3

Ok, to find the percentage, we'll just convert the fraction to a decimal, then multiply that by 100.
If you punch 1/216 into a calculator, you should get 0.00463
Then, if we multiply that by 100, we can convert it into a percentage.
The result of that calculation is 0.463%

Answer 4

so 46%?

Answer 5

Not quite. We've already multiplied our decimal by 100, so there's no need to do it again.
The percentage we're looking for is 0.46%, or about half of 1%

Answer 6

ok