Question

A gardener has 13 identical looking tulip bulbs, of which 6 will produce yellow tulips and 7 will become pink. she randomly selects and plants 6 and gives the rest away. When the tulips start to bloom, what is the probability that all are yellow?

Answer 1

Given data:

The total numbbers of bulbs are n=13.

The expression for the probability that gardener plants 6 yellow bulbs is,

`\begin{gathered} P=(6)/(13)*(5)/(12)*(4)/(11)*(3)/(10)*(2)/(9)*(1)/(8) \\ =(1)/(13*11*3*4) \\ =(1)/(1716) \end{gathered}`

Thus, the probability that gardener plants 6 yellow bulbs is 1/1716.