SOLUTION: In a single spin, what is the probability of obtaining a C given the spinner did not land on a B? P(A): 2/5 P(B): 1/5 P(C): 1/10 P(D): 3/10

Algebra ->  Probability-and-statistics -> SOLUTION: In a single spin, what is the probability of obtaining a C given the spinner did not land on a B? P(A): 2/5 P(B): 1/5 P(C): 1/10 P(D): 3/10      Log On


   

Question 505553: In a single spin, what is the probability of obtaining a C given the spinner did not land on a B?
P(A): 2/5
P(B): 1/5
P(C): 1/10
P(D): 3/10
Found 2 solutions by edjones, Edwin McCravy:
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
what letters are on the spinner?

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
The other tutor misunderstood that A,B,C, and D are the
letters on the spinner.

The conditional probability of X given Y is given by the formula:

          P(X and Y)
P(X|Y) = ------------
             P(Y) 


              P(C and not B)
P(C|not B) = --------------- 
                P(not B)

P(C and not B) = P(C) = 1%2F10

P(not B) = 1 - P(B) = 1 - 1%2F5 = 5%2F5 - 1%2F5 = 4%2F5


              P(C and not B)      1%2F10
P(C|not B) = --------------- =  -------- =  1%2F10%22%F7%224%2F5 = 1%2F10%22%22%2A%22%225%2F4 = 1%2F8
                P(not B)           4%2F5


Edwin