The following table shows the results of a survey of students who were asked whe
ID: 3044696 • Letter: T
Question
The following table shows the results of a survey of students who were asked whether they liked the game of chess
50
A student is chosen at random from this sample.
1- The probability that the student likes chess is about
40/185 , 100/185 , 60/185 , 185/100
2- The probability that the student is female and likes chess is closet to
60/185, 185/40 , 100/185, 40/185
3- The probability that the student is female or dislikes chess is closet to
35/185 , 125/185 , 125/100 , 185/125
4- The probability that the student is male, given likes chess is closet to
110/60 , 60/110 , 60/185, 100/185
5- The probability that the student is male or female is closet to
.25 , .6 , .1 , .5
6- The probability that the student is not female is closet to
75/185 , 110/185 , 85/185 , 185/10
like chess dislike chess Female 40 35 Male 6050
Explanation / Answer
Total numbers = 40 + 60 + 35 + 50 = 185
Hence,
1. P(Likes Chess) = (40 + 60)/185 = 100/185
2. P(Female and likes chess) = 40/185
3. P(Female or dislikes chess) = (40 + 35 + 50)/185 = 125/185
4. P(Male | Likes chess) = 60/(40 + 60) = 60/100
5. P(Male or Female) = 1
6. P(Not female) = P(Male) = 110/185
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