the letters in the word ARIZONA are arranged randomly. write your answers in decimal form. round to the nearest thousandth as neededwhat is the probability that the first letter is Awhat is the probability that the first letter is zwhat is the probability that the first letter is a vowelwhat is the probability that the first letter is H

Answer: (a) 0.28, (b) 0.14, (c) 0.57 and (d) 0.Step-by-step explanation:Probability = [tex]\frac{FO}{TO}[/tex]where,FO represents favorable outcomes and TO represents total outcomes(a) In this part, FO = 2 and TO = 7So, the probability = [tex]\frac{2}{7}[/tex]= 0.28(b)  In this part, FO = 1 and TO = 7So, the probability = [tex]\frac{1}{7}[/tex]= 0.14(c)  In this part, FO = 4 and TO = 7So, the probability = [tex]\frac{4}{7}[/tex]= 0.57(d)  In this part, FO = 0 and TO = 7So, the probability = [tex]\frac{0}{7}[/tex]= 0