Question

As you all know, Mr. Wright loves cats. The localshelter has 16 cats up for adoption, 7 male and 9female. Mr. Wright selects 5 at random to takehome with him to love unconditionally for eternity.Since he prefers female cats over male cats, what isthe probability that he will be pleased to find all hisnew feline friends are female?

Answer 1

The total number of cats up for adoption is

`=16`

The number of male cats is

`=7`

The number of female cats is

`=9`

Since 5 cats are to be picked and he prefers only female cats, the probability will be

`\begin{gathered} =(9)/(16)*(8)/(15)*(7)/(14)*(6)/(13)*(5)/(12) \\ =(3)/(104) \\ \end{gathered}`

Hence,

The final answer is

`\Rightarrow(3)/(104)`

The SECOND OPTION is the right answer