Question 354215: A random sample of 253 adults was take, and they were asked whether they prefer watching sports (WS) or opera on tv (OTV). The following table gives the two-way classification of these adults.
Male (WS)-93
Male (OTV)-27
Female (WS)-42
Female (OTV)-91
If one adult is selected at random from this group, find the probability that this adult (round answers to three decimal places)
A.Prefers watching opera
B.Is male
C.Prefers watching sports given that the adult is a female
D.Is a male given that he prefers watching sports
E.Is a female and prefers watching opera
F.Prefers watching sports or is a male
Answer by sudhanshu_kmr(1152)   (Show Source):
You can put this solution on YOUR website! Total no. of person = 253 i.e n(s)
A. Solution:
no. of adults who prefer watching opera = 27 + 91 = 118
probability of prefer watching opera = 118/253
= 0.466
....................................................................
B. solution:
no. of male = 93 + 27 = 120
probability of male = 120/253
= 0.474
........................................................................
C. solution:
no. of female = 42 + 91 = 133
no. of female prefer watching sports = 42
probability of prefer watching sports if female = 42 / 133
= 0.3158
.........................................................................
D. solution
no. of adults watching sports = 93 + 42 = 135
no. of male watching sports = 93
probability of male if watching sports = 93/135
= 0.68888
..........................................................................
E. solution:
no. of females watching opera = 91
probability of female that watching opera = 91/ 253
= 0.35968
..........................................................................
F. no. of adult who are male or watching sport = 93+ 27 +42 = 162
probability of male or watching sport = 162/253
= 0.6403
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