the letters in the word ARIZONA are arranged randomly. write your answers in decimal form. round to the nearest thousandth as needed

what is the probability that the first letter is A

what is the probability that the first letter is z

what is the probability that the first letter is a vowel

what is the probability that the first letter is H

Respuesta :

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 = 7

So, the probability = [tex]\frac{2}{7}[/tex]

= 0.28

(b)  In this part, FO = 1 and TO = 7

So, the probability = [tex]\frac{1}{7}[/tex]

= 0.14

(c)  In this part, FO = 4 and TO = 7

So, the probability = [tex]\frac{4}{7}[/tex]

= 0.57

(d)  In this part, FO = 0 and TO = 7

So, the probability = [tex]\frac{0}{7}[/tex]

= 0