dannnex

Math question for all you smart people

if I have a bag with 10 marbles and 3 of them are red, and I pull out 3 marbles, one at a time, what are the odds I pull out all three red ones? I think I instinctively want to say 33.33% but that doesn’t seem right.

I think you have a 33.33% chance of pulling out the first red marble, and then there’d be 9 marbles with 2 red, so 22.22% of a red, and then you’d have 8 marbles with one red, so 12.5%? And then you multiply the percents together to get the actual odds? That’d be 0.925%. Maybe. I haven’t done probability in like 4 years so I really don’t know.