Question

An alphabet is chosen from the letters of the word SPIDERMAN. Find the probabiltiy of getting
(1) a vowel
(ii) a consonant.​

Answer 1

Step-by-step explanation:

(A) 2/9

(B)7/9

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Answer 2

i) The  Probability of getting vowels from the word SPIDERMAN  is $\frac{1}{3}$

Therefore  $P(A)=\frac{1}{3}$

ii) The  Probability of getting consonants from the word SPIDERMAN  is $\frac{2}{3}$

Therefore $P(B)=\frac{2}{3}$

Step-by-step explanation:

Given that An alphabet is chosen from the letters of the word SPIDERMAN.

To find the probability of getting

(i) a vowel

(ii) a consonant.​

We know that $vowels={\{a,e,i,o,u}\}$ from the alphabets

and consonants=other than vowels

That is  $consonants={\{b,c,d,f,g,h,j,k,l,m,n,p,q,r,s,t,v,w,x,y,z}\}$

From the given word SPIDERMAN there are i,e and a are the vowels that is 3 vowels and there are s,p,d,r,m,n are the consonants that is 6 consonants

Let P(V)=3 be the number of vowels in the given word and P(C)=6 be the number of consonants in the given word.

The total number of letters in the given word SPIDERMAN is 9

Therefore P(S)=9

• i) Let P(A) be the  Probability of getting vowels from the word SPIDERMAN  

Therefore it can be written as $P(A)=\frac{P(V)}{P(S)}$

$P(A)=\frac{3}{9}$

$P(A)=\frac{1}{3}$

The  Probability of getting vowels from the word SPIDERMAN  is $\frac{1}{3}$

• ii) Let P(B) be the  Probability of getting consonants from the word SPIDERMAN  

Therefore it can be written as $P(B)=\frac{P(C)}{P(S)}$

$P(B)=\frac{6}{9}$

$P(B)=\frac{2}{3}$

The  Probability of getting consonants from the word SPIDERMAN  is $\frac{2}{3}$