Question

3 balls are randomly drawn from a box containing 4 yellow 2 blue and 5 red balls. Youwin a prize if all three are yellow. What is the probability of winning?

Answer 1

Answer:
`(4)/(165)`

Explanation:

Given : The number of yellow balls in the box = 4

The total number of balls =
`4+2+5=11`

Since the given situation has dependent events.

Then, the probability of that all three balls are yellow is given by :-

`\text{P(YYY)}==(^4P_3)/(^(11)P_3)=(4*3*2)/(11*10*9)\\\\\Rightarrow\ \text{P(YYY)}=(4)/(165)`

Hence, the probability of winning =
`(4)/(165)`