Asked by hana

The letters in the word MATHEMATICS are arranged randomly.
What is the probability that the first letter is E?
What is the probability that the first letter is M?

Answers

Answered by Ms. Sue
E - 1/11
M - 2/11

Answered by Reiny
number of possible arrangements
= 11!/(2!2!2!) , 2 A's, 2 T's, 2 M's
= 4989600

number with E first
= 1x10!/(2!2!2!) = 453600

prob E first = 453600/4989600
= 4536/49896
= 1/11

with M first
number of arrangements
= 2x10!/(2!2!2!) = 907200

prob with M first = 907200/4989600
= 9072/49896
= 2/11

Ms Sue had both of those clearly using a very common sense reasoning
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