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OpenStudy (mathmath333):
\(\large \color{black}{\begin{align}
& \normalsize \text{There are 5 envelopes corresponding to 5 letters .}\hspace{.33em}\\~\\
& \normalsize \text{If the letters are placed in the envelopes at random,}\hspace{.33em}\\~\\
& \normalsize \text{what is the probability that all letters are not placed}\hspace{.33em}\\~\\
& \normalsize \text{in right envelope ?}\hspace{.33em}\\~\\
& a.)\ \dfrac{119}{120} \hspace{.33em}\\~\\
& b.)\ \dfrac{59}{60} \hspace{.33em}\\~\\
& c.)\ \dfrac{23}{24} \hspace{.33em}\\~\\
& d.)\left(\dfrac{4}{5}\right)^{5} \hspace{.33em}\\~\\
\end{align}}\)
OpenStudy (inkyvoyd):
how many ways are there to place the letters?
OpenStudy (mathmath333):
5!
OpenStudy (inkyvoyd):
ok. how many ways are there to put the letters in the right envelope?
OpenStudy (mathmath333):
1
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OpenStudy (inkyvoyd):
ok what's the chance of putting all the letters in the right envelope?
OpenStudy (mathmath333):
1/5!
OpenStudy (inkyvoyd):
ok. what's the chance of NOT putting all the letters in the right envelopes?
OpenStudy (mathmath333):
1-1/5!
OpenStudy (inkyvoyd):
and what is that equal to?
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