A game involves tossing a balanced coin three times. The coin is tossed independently by three people. If the first head occurs on the first toss, the person playing the game will win R15. If the first head occurs on the second toss, the person will win R30 and if the first head occurs on the third toss, the person will win R45. If no heads are observed, the person will lose R15 (that is win -R15). Let X be the number of heads observed and Y be the amount won by the person playing the game. Determine and tabulate the joint probability function of X and Y.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A game involves tossing a balanced coin three times. The coin is tossed independently by three
people. If the first head occurs on the first toss, the person playing the game will win R15. If the
first head occurs on the second toss, the person will win R30 and if the first head occurs on the
third toss, the person will win R45. If no heads are observed, the person will lose R15 (that is win
-R15). Let X be the number of heads observed and Y be the amount won by the person playing
the game. Determine and tabulate the joint probability function of X and Y.
Transcribed Image Text:A game involves tossing a balanced coin three times. The coin is tossed independently by three people. If the first head occurs on the first toss, the person playing the game will win R15. If the first head occurs on the second toss, the person will win R30 and if the first head occurs on the third toss, the person will win R45. If no heads are observed, the person will lose R15 (that is win -R15). Let X be the number of heads observed and Y be the amount won by the person playing the game. Determine and tabulate the joint probability function of X and Y.
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