Question

Let's say you have a bag of 100 marbles. There are an equal number of five different colors. You are curious to know what the probability would be if you dipped your hand in and grabbed out 5 of the same color marble. In this scenario, the underlying success rate = _______.

**Please show work!

Answer 1

Since marbles divide into 5 different colors with equal number so probability to get any color is 1/5

Probability (any color same 5 marbles out) =1/5*1/5*1/5*1/5*1/5

Probability of 5 same color marbles grabbed out it can be from any of 5 colors then it is =1/5*1/5*1/5*1/5*1/5 + 1/5*1/5*1/5*1/5*1/5 + 1/5*1/5*1/5*1/5*1/5 + 1/5*1/5*1/5*1/5*1/5 + 1/5*1/5*1/5*1/5*1/5=5/3125=0.0016

Solution file is attached go through it

Thanks