Question

A bag contains tiles with the letters A-R-I-T-H-M-E-T-I-C. Amelia chooses a tile without looking and doesn’t replace it. She chooses a second tile without looking. What is the probability that she will choose the letter I both times?


•1/25
•1/45***
•2/45
•2/55

Answer 1

So the prob of picking I the first time = 2/10 = 1/5
You are now returning it, so wouldn't the second draw have the same probability, since the letters certainly don't remember what happened to them ??

So what do you think?

Answer 2

I misread the part about replacing it
I read it as being replaced, so
it should be
(2/10)(1/9) = 1/45

you are right