Question

A bag contains 11 letter tiles of the same size. The tiles are labeled either Upper H​, Upper I​, Upper J​, Upper K​, Upper L​, or Upper M. Six of the tiles are labeled Upper M. If Corey selects 1 tile from the bag without​ looking, is the selection of letters​ fair? Explain.
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Part 1
Choose the correct answer below.
A.
​No, because there are not equally as many tiles labeled with each letter. There are fewer tiles labeled with Upper M than any other letter.
B.
​Yes, because there are more tiles labeled with Upper M than any other letter.
C.
​No, because there are not equally as many tiles labeled with each letter. There are more tiles labeled with Upper M than any other letter.
D.
​Yes, because there are equally as many tiles labeled with each letter.

Answer 1

C. No, because there are not equally many tiles for each letter — there are 6 M's (P(M)=6/11) and the other letters occur fewer times, so the outcomes are not equally likely.