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?
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
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
= 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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