You have been offered the chance to play a dice game in which you will receive Rs.20/− each time if the total of the points on the two dice is 6 if it costs you Rs.2.50 per toss to participate should you play or not say yes or no.
A
Yes
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B
No
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C
Ambiguous
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D
Cannot be determined
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Solution
The correct option is A Yes (1,5)(5,1)(2,4)(4,2)(3,3) P(getting total 6)=5/36 Net gain =5/36∗20−2.5=0.277 Since his net gain is positive, therefore he should play.