Does anyone know how to solve this?
"A basket has 3 grapes and 2 olives. If two were taken out and random, what is the probability of picking both olives?"
-My first thought is that the total number of possible outcomes would be 3 grapes(G) + 2 olives(O) = 5, but once I start writing out the possible outcomes in a chart, it gets way more complicated.
Eg. -Grape 1: (G1,G2) (G1,G3) (G1,O1) (G1,O2) -Grape 2: (G2,G1) (G2,G3) (G2,O1) (G2,O2) ...etc. All the way through grape 3, olive 1 & olive 2.
The part that keeps confusing me, is where I get reoccurring picks, (G1,G2) or (G2,G1). Should I even be labelling each individual grape? Or just count them as 3 grapes in general?
Thank you in advance for any advice on this question!