Question

A number cube has 6 faces, numbered from 1 to 6. If the cube
is rolled six times, what is the probability that a face with a 6
comes up exactly once?​

Answer 1

$|\Omega|=6^6\\|A|=6\cdot 5^5\\\\P(A)=\dfrac{6\cdot5^5}{6^6}=\dfrac{5^5}{6^5}=\dfrac{3125}{7776}\approx40.2\%$

Answer 2

The probability that a face with a 6 comes up exactly once will be 0.40.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A number cube has 6 faces, numbered from 1 to 6.

If the cube is rolled six times.

Then the probability that a face with a 6 comes up exactly once will be

The total number of the event will be

Total event = 6⁶

Total event = 46656

Favorable event = 6 x 5⁵

Favorable event = 18750

Then the probability will be

P = 18750 / 46656

P = 3125 / 7776

P = 0.40

More about the probability link is given below.

https://brainly.com/question/795909

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