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Question: There are 150 tiles of which 15 are A's in a scrabble game. What is the probability of getting both A's when two tiles are drawn?



A ) 7750
B ) 110
C ) 7745
D ) None of the above

Steps to derive

1 The two events of drawing the tiles in a scrabble game are dependent events because the tiles drawn are not replaced.

2 P (drawing an A on the first draw) = Number of A's / Total number of tiles = 15150

3 After the first draw, there are 14 A tiles and a total of 149 tiles.

4 P (drawing an A on the second draw) = Number of A's / Total number of tiles = 14149

5 P (drawing two As) = P (drawing an A on the first draw) x P (drawing an A on the second draw) = 15150 x 14149
 [Substitute.]

6 P (getting both A's) = 7745
 [Simplify the fraction.]

7 Probability of getting both A's when two tiles are drawn is 7745.



Hence the right answer is Option C

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