There are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). To win, a company needs to take out two golden balls. The first ball is not replaced.
What is the probability of any company winning advertising space on their volley ball team jerseys?

Respuesta :

2/6 of a chance. There are 6 balls two of each color

Answer:  [tex]\dfrac{1}{15}[/tex]

Step-by-step explanation:

Given: Total number of balls in the bag - 6

Number of golden balls = 2

To win, a company needs to take out two golden balls. The first ball is not replaced.

Then  the number of ways to get two balls :-

[tex]^2P_2=\dfrac{2!}{(2-2)!}=2[/tex]

The number of ways to draw any two ball :-

[tex]^6P_2=\dfrac{6!}{(6-2)!}=6\times5=30[/tex]

Now, the probability of any company winning advertising space on their volley ball team jerseys :_

[tex]\dfrac{2}{30}=\dfrac{1}{15}[/tex]