4. Scrabble Aa Aa SCRABBLE R is a word game in which two to four players score p

Question

4. Scrabble Aa Aa SCRABBLE R is a word game in which two to four players score points by forming words from individual lettered tiles on a game board marked with a 15-by-15 grid. The words are formed across and down in crossword-puzzle fashion and must appear in a standard dictionary. There are 100 tiles in all, including 2 blank tiles that serve as wild cards and can take on the value of any letter. Frequency of the SCRABBLE Letter Tiles Blank 2 1. Fill in the probabilities. Enter your answers as decimals, and assume that you are sampling with replacement. (a) What is the probability of drawing an A? P (A) (b) What is the probability of drawing an R? POR) (c) What is the probability of drawing an E?

Explanation / Answer

P(Event) = No. of favourable outcomes/Total no of outcomes. Here the total no of outcomes = 100

1) (a) P(A). The no of favourable outcomes is 9. Therefore P(A) = 9/100 = 0.09

(b) P(R). The no of favourable outcomes = 6. Therefore P(R) = 6/100 = 0.06

(c) P(E). The no of favourable outcomes = 12. Therefore P(R) = 12/100 = 0.12

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