If a fair die is rolled 6 times, what is the probability, rounded to the nearest thousandth, of getting at least 5 sixes?

Step-by-step explanation:

The probability of getting something other than a 6 is

5/6

The probability of getting 5 sixes is

1/6 * 1/6 * 1/6 * 1/6 * 1/6 * 5/6

5 / 6^6 =0.000107167

And if you should draw all sixes The Probability is

(1/6)^6 = .000021433

The probability of getting at least 5 sixes is the sum of these two numbers.

0.0001286

Rounded to the nearest 1/1000 is 0. In other words, not very likely which you probably knew without the math.

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!