Question

Each of the ten letters in ``MATHCOUNTS'' is written on its own square tile and placed in a bag. What is the probability that a tile randomly selected from the bag will have a letter on it that is in the word ``TEACH''? Express your answer as a common fraction.

Answer 1

step  1

First, see how many letters in MATHCOUNTS are also in TEACH.

M no

A  yes

T  yes

H yes

C yes

O  no

U no

N no

T  yes

S  no

 That is 5 out of the 10 letters.

so

the probability=5/10-------> 1/2 

the answer is
1/2