1. ## Easy Question

A group of 80 females consists of 54 dancers and 35 singers. Each member of the group is either a dancer or a singer or both. The probability that a randomly selected member of the group is a singer given that she is a dancer is how much?

Any help on the above will be appreciated.

2. Hello, Joker37!

A group of 80 females consists of 54 dancers and 35 singers.
Each member of the group is either a dancer or a singer or both.
Find the probability that a randomly selected member of the group
is a singer, given that she is a dancer.
Organize the data in a chart.

. . $\begin{array}{c||c|c||c}
& \text{Dancers} & \sim\text{Dance} & \text{Total}\\ \hline \hline
\text{Singers} & 9 & 26 & 35 \\ \hline
\sim\text{Sing} & 45 & 0 & 45 \\ \hline \hline
\text{Total} & 54 & 26 & 80 \end{array}$

There are 54 dancers.
Among them, 9 are also singers.

Therefore: . $P(\text{singer}|\text{dancer}) \:=\:\frac{9}{54} \;=\;\frac{1}{6}$

3. Originally Posted by Joker37
A group of 80 females consists of 54 dancers and 35 singers. Each member of the group is either a dancer or a singer or both. The probability that a randomly selected member of the group is a singer given that she is a dancer is how much?