A bag contains 5 blue marbles, 2 red marbles, 6 yellow marbles, and 2 green marbles. what is the probability of picking 3 marbles without replacement to all be blue or all red. P(all blue or all red)

Question

A bag contains 5 blue marbles, 2 red marbles, 6 yellow marbles, and 2 green marbles.  what is the probability of picking 3 marbles without replacement to all be blue or all red. P(all blue or all red)

kirbykirby · Answer

This is a weird question. I'm not sure how you can pick all marbles to be all red if you are picking 3 marbles, and there are only 2 of them in total.

zarkon · Answer

then P(all red)=0

kirbykirby · Answer

oh I suppose lol.

zarkon · Answer

all blue and all red are disjoint events. so ...
P(all blue or all red)=P(all blue)+P(all red)

you already have P(all red)

now you just need P(all blue)

anonymous · Answer

Okay so how do you actually set this up?  I'm confused

zarkon · Answer

i set it up...you just need to finish it

anonymous · Answer

thank you