Math Question
![There are 8 acts in a talent show.
An acrobat, a comedian, a dancer, a juggler, a pianist, a singer, a violinist, and a whistler.
A talent show host randomly schedules the 8 acts.
Compute the probability of each of the following events.
Event A: The first three acts are the pianist, the comedian, and the juggler, in any order.
Event B: The pianist is first, the dancer is second, and the comedian is third.
Write your answers as fractions in simplest form.
\[
\begin{array}{l}
P(A)=\prod \\
P(B)=\square
\end{array}
\]](https://d3hlidq5bf9vg0.cloudfront.net/app-server-student/2022/4/19/7286981c-f88b-4c75-911a-402cacce5877.png "There are 8 acts in a talent show.
An acrobat, a comedian, a dancer, a juggler, a pianist, a singer, a violinist, and a whistler.
A talent show host randomly schedules the 8 acts.
Compute the probability of each of the following events.
Event A: The first three acts are the pianist, the comedian, and the juggler, in any order.
Event B: The pianist is first, the dancer is second, and the comedian is third.
Write your answers as fractions in simplest form.
\[
\begin{array}{l}
P(A)=\prod \\
P(B)=\square
\end{array}
\]")
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