SOLUTION: Disks, each with a single letter written on it, are placed in a bowl. The letters are A, B,C,D and E. a) Find the probability of a i) vowel ii) consonant b)If two disks are chose

Algebra ->  Probability-and-statistics -> SOLUTION: Disks, each with a single letter written on it, are placed in a bowl. The letters are A, B,C,D and E. a) Find the probability of a i) vowel ii) consonant b)If two disks are chose      Log On


   

Question 1143801: Disks, each with a single letter written on it, are placed in a bowl. The letters are A, B,C,D and E.
a) Find the probability of a i) vowel ii) consonant
b)If two disks are chosen, probability of iii) both vowels iv)both not vowels v)the first is a vowel and the second is a consonant vi) the second is a vowel
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

(a)

     (i)    2%2F5.    ANSWER

     (ii)   3%2F5.    ANSWER



(b)

     (iii)  %282%2F5%29%2A%281%2F4%29 = 2%2F20 = 1%2F10 = 0.1 = 10%.

     (iv)   %283%2F5%29%2A%282%2F4%29 = 6%2F20 = 3%2F10 = 0.3 = 30%.

     (v)    %282%2F5%29%2A%283%2F4%29 = 6%2F20 = 3%2F10 = 0.3 = 30%.

     (vi)   P = P(first is vowel AND second is vowel)*(P(first is consonant)*P(second is vowel) = 

              = %282%2F5%29%2A%281%2F4%29 + %283%2F5%29%2A%282%2F4%29 = 2%2F20+%2B+6%2F20 = 8%2F20 = 2%2F5 = 0.4 = 40%.

All questions are answered -- the problem is solved.