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

Answer 2

Answer:

1/2

Step-by-step explanation:

This is the answer because:

1) In TEACH, there are 5 letters that are in MATHCOUNTS because they are T, E, C, H. However, the T appears two times in MATHCOUNTS which makes it 5 times

2) MATHCOUNTS is 10 letters

3) Therefore, the probability is 5/10 which is 1/2

The answer is 1/2.

Hope this helps!