Hi, I'm working on the 6-th question but I can't get the solution.

I solved Q5 and I found a probability to get

on just one sample (N=10) of 0.0047. Then to compute the probability to get at least one sample with

, I modeled the number of samples with 0 red marbles

with a binomial random variable

. Hence, the probability I need is

and

Finally

, so my closest answer is [3] = 0.550, however the solution report [c] as right answer. Where did I make a mistake ? Thank you in advance for your time (and sorry for my english).