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The surface area "S" of a sphere of radius ris given by the forma

Mathematics

1 answer:

Snezhnost [94]3 years ago

3 0

The answer is 314.16

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There is a $\frac{(n-1)^{5}}{n^{6}}$ probability that the correct password is found on the sixth try.

Step-by-step explanation:

We have n passwords, only 1 is correct.

So,

Since a password is put back with other, at each try, we have that:

The probability that a password is correct is $\frac{1}{n}$

The probability that a password is incorrect is $\frac{n-1}{n}$ .

There are 6 tries.

We want the first five to be wrong. So each one of the first five tries has a probability of $\frac{n-1}{n}$ . So, for the first five tries, the probability of getting the desired outcome is $\frac{(n-1)^{5}}{n^{5}}$ .

We want to get it right at the sixth try. The probability of sixth try being correct is $\frac{1}{n}$ .

So, the probability that the first five tries are wrong AND the sixth is correct is:

$P = \frac{(n-1)^{5}}{n^{5}}\frac{1}{n} = \frac{(n-1)^{5}}{n^{6}}$

There is a $\frac{(n-1)^{5}}{n^{6}}$ probability that the correct password is found on the sixth try.

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