Question

What is the probability of drawing a consonant?
​

Answer 1

Answer:

21/26

Step-by-step explanation:

There are 26 alphabets

From this, 5 are vowels

The probability of drawing a consonant also means not to draw a vowel

Hence,

26 - 5 = 21

Answer 2

Answer:

The probability of drawing a consonant from english alphabets is found to be: $\frac{21}{26}\ or\ 0.807$.

Step-by-step explanation:

We know that there are 26 alphabets in the english vocabulary.

Out of these 26 alphabets, there are 5 vowels and the rest of the alphabets are consonants.

Also, we know that the formula for finding the probability is as follows:

$P(x)=\frac{Number\ of\ favourable\ outcomes}{Number\ of\ total\ outcomes}$

The total outcomes in alphabets will be: 26

Number of vowels in the alphabets: 5

The probability of finding a consonant will be:

$P(finding\ a\ consonant)=1-P(finding\ a\ vowel)$

$P(finding\ a\ consonant)=1-\frac{Number\ of\ vowels\ in\ english\ alphabets}{Number\ of\ total\ english\ alphabets}$

Substituting the known information in this expression, we get:

$P(finding\ a\ consonant)=1-\frac{5}{26}$

$P(finding\ a\ consonant)=\frac{26-5}{26}$

or we can say:

$P(finding\ a\ consonant)=\frac{21}{26}\ or\ 0.807$

The probability of finding a consonant is found to be: $\frac{21}{26}\ or\ 0.807$.