Probability question
\(\large \color{black}{\begin{align} & \normalsize \text{There are 5 envelopes corresponding to 5 letters .}\hspace{.33em}\\~\\ & \normalsize \text{If the letters are placed in the envelopes at random,}\hspace{.33em}\\~\\ & \normalsize \text{what is the probability that all letters are not placed}\hspace{.33em}\\~\\ & \normalsize \text{in right envelope ?}\hspace{.33em}\\~\\ & a.)\ \dfrac{119}{120} \hspace{.33em}\\~\\ & b.)\ \dfrac{59}{60} \hspace{.33em}\\~\\ & c.)\ \dfrac{23}{24} \hspace{.33em}\\~\\ & d.)\left(\dfrac{4}{5}\right)^{5} \hspace{.33em}\\~\\ \end{align}}\)
how many ways are there to place the letters?
5!
ok. how many ways are there to put the letters in the right envelope?
1
ok what's the chance of putting all the letters in the right envelope?
1/5!
ok. what's the chance of NOT putting all the letters in the right envelopes?
1-1/5!
and what is that equal to?
a.)
yeh
thnks
np
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