Question

e Pelle
A letter & chan a andom from the alph
pood the probablay that are
àm
Z
boot ar z
e either P, Q, Rors
fare a the wtters. NIGERIA
악​

Answer 1

Answer:

The first part is right, but the second part is wrong (although not an absolutely terrible estimate.)

Basically, when you do the trial n times, the value you computed is the expected number of occurrences of HAMLET.

This is a case where using the negative probability is better. The probability that you do not get HAMLET from one monkey is:

1−20!×2126!

So the probability that you don't get HAMLET from n monkeys is:

(1−20!×2126!)n

So the probability that you got at least one HAMLET from n monkeys is:

1−(1−20!×2126!)n

Solve for that ≥0.90.

I get n≥18175684.7….