A new game with all tiles in the pouch is started. You have chosen the letters M, U, and I. What is the probability of forming the word “MUSSI” on your next two draws?

Question

Probability Question

Comments

You haven’t stated what tiles are in the pouch, so we don’t know where the S’s come from, and what other letters there are.

Answer 1

The contents of the pouch have not been specified in the question.

Assuming a complete set of 100 tiles, including two blanks and a standard Scrabble set of letters, the following answer is given.

There are 4 S’s in a standard set. Since 3 tiles have been removed: M, U, I, There are 97 tiles remaining, the probability of drawing an S is 4/97 on the first draw and 3/96 on the second draw. The probability of these being consecutive draws with no other tiles drawn is (4/97)(3/96)=1/776=0.001289 approx, 0.13% approx.