Question

You play a game in which two coins are flipped. If both coins turn up tails, you win 1 point. How many points would you need to lose for each of the other outcomes so that the game is fair?

Answer 1

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Explanation:

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Answer 2

Answer with explanation:

When two coins are tossed

Total Sample Space ={T T,HT, TH, H H}=4

By getting , T T, total points won =1 Point

For, a fair game , you need to lose 1 point, so that sum of all the points

=1 -1

=0

The point = -1 , must be obtained from three outcomes which are {HT, TH, and H H}.

Sum of ,HT , TH and H H = -1

⇒S(H T) +S (TH) +S(H H)= -1, where S=Sum

If points obtained on each of three outcome are equal, then

`S(HT)=(-1)/(3)\\\\S(TH)=(-1)/(3)\\\\S(HH)=(-1)/(3)`