Question

each letter of the word "MATHEMATICAL" is written on individual pieces of paper and placed in the bag. Your reach into the bag and pull out letter. What is the probability that it's a vowel?
​

Answer 1

Answer:

There are 5 vowels in the word MATHEMATICAL

Step-by-step explanation:

The 5 vowels are A, E, A, I, A. These can be termed as probability for the same as the following:

Total number of vowels = 5

Total number of alphabets = 12

Therefore the probability to spot a single vowel each time is 5/12 = 0.4167.

Answer 2

$\bold{\frac{5}{12}}$ is the probability that it is a vowel in the word MATHEMATICAL.

Given:

Each letter of the word MATHEMATICAL written in the individual paper and placed in the bag.

To find:

Probability that it’s a vowel = ?

Solution:

Total letter on the word MATHEMATICAL is 12 .

Therefore, the sample space = 12

In the word MATHEMATICAL the total vowels are 5.(A,E,A,I,A).  

The event would be $5 c_{1}=\frac{5 !}{14 !}=5$

Number of favorable outcomes = 5

The required Probability $=\frac{N o \text { of } \text {favorable outcomes}}{\text {Total number of outcomes}}=\frac{5}{12}$

Therefore, the probability $\bold{=\frac{5}{12}}$.