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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

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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 60

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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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