Question

Every letter of the english alphabet is coded into numbers like a stands for 1, b for 2 and so on.. decode the letters used in the phrase respect given is respect earned. find the probability of each letter used (only once) to form the phrase from the total sum of all the 27 decoded letters

Answer 1

Solution:-
Codes according to the Alphabets
A = 1  B = 2  C = 3   D = 4   E = 5
F = 6  G = 7  H = 8   I =  9   J = 10
K = 11   L = 12   M = 13   N = 14
O = 15   P = 16   Q = 17   R = 18  
S = 19   T = 20   U = 21    V = 22 
W = 23  X = 24   Y = 25    Z = 26
As the information is given that A = 1, B = 2, C = 3 and so on,
The phrase 'RESPECT GIVEN IS RESPECT EARNED' can be decode as
18519165320   7922514   919  18519165320  51181454
Now, the total sum of the letters used in the phrase.
18+5+19+16+5+3+20+7+9+22+5+14+9+19+18+5+19+16+5+3+20+5+1+18+14+5+4 = 304
Total non repeating alphabets = RESPCTGIVNAD
So, sum of these numbers = 18+5+19+16+3+20+7+9+22+14+1+4 = 138
Therefore,
The probability = Number of favourable outcomes/Total number of outcomes
= 138/304 = 69/152
The required probability = 69/152
Answer.