A letter is choosen from English alphabet. find the probability of the letters being (a)A vowel (b) a letter comes after p (c)A vowel or a consonent (d)not a vowel
Answers
Answer:
No. of vowels in English alphabet = 5
No. of letter that comes after p = 10
No. of consonant = 21.
Probability (chance) of something happening = Number of successful outcomes/ Number of possible outcomes.
Step-by-step explanation:
(a) Probability = 5/26
(b) Probability = 10/26 = 5/13
(c) Probability = 26/26 = 1
(d) Probability = 21/26.
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a. No. of vowels(possible outcomes)= 5 ( a,e,i,o,u)
No. of total outcomes = 26
P (E) = No . of possible outcomes / Total outcomes
= 5/26
= 0.192------
= 0.19 ( approximately)
b. No. of possible outcomes ( after letter p)= 10 ( q,r,s,t,u,v,w,x,y,z)
No . of total outcomes = 26
P (E) = 10/26
= 0.384-----
= 0. 38 ( approximately)
c. Here,
All alphabets = vowels + constants
= 26
so here probability of getting vowel or constant
P (E) = 26/26
= 1
d. No. of possible outcomes ( not a vowel) = 21
No. of total outcomes = 26
P (E) = 21/26
=0.807--
=0.81 ( approximately).
Note :
All remember that probability of an event lies between 0 and 1.