Question

1. What is the probability that a randomly chosen four letter word will begin with HA

   		0.5
   		0.032519631
   		0.001479289941
   		0.03846153846
   		0.0000021883

Answer 1

solution:

total alphabets = 26

total ways to form a four letter words out of 26 alphabets = 26*26*26*26 =   264

now we have to find the probability that the four letter word starts with HA

so first letter can be choosen out of 26 = 1 way because there is one H in the total alphabet

now second place A can be filled from total alphabet in 1 ways

third place can be filled by any one of the alphabet = 26 ways

fourth letter can be put by anyone of the alphabet = 26 ways

so total ways of forming four letter words starting with HA is = 1*1*26*26 = 262

so required probability = favourable cased / total number of cases

= 262 / 264 = 0.001479289941

so, probability of forming a four digit word starting with HA is = 0.001479289941