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Sagot :
Answer: The expected value is 1/6 * 1/2 * 1/3 = 1/36 the standard deviation of 1/36 = 99.7% = 1/36 * 0.997 = 0.0276944444
The mean playing twice = 1/9 =0.111111111
Step-by-step explanation:
to win $10 in one throw = 1/6 to win $1 in one throw = 2/6 and to lose is 1/2 so we have 3 probabilities and 3(3)= 9 probability combinations = 1/2 to lose 1/3 to win $2 and 1/6 to win $10 playing twice = 1/6 * 1/6 = 1/36 or 1/6* 1/2= 1/12 or 1/6 * 1/3 = 1/18 or 1/2 * 1/2 = 1/4 or 1/2 * 1/6 = 1/12 or 1/2 * 1/3 = 1/6 or 1/3 * 1/3 = 1/9 or 1/3 * 1/2 = 1/6 or 1/3 * 1/6 = 1/18 we write a list 1/36+1/12+1/18+1/4+1/12+1/6+1/9+1/6+1/18 /9 = 34/36 + 2/36 = 36/36 = 1 and 1/9 =0.111111111
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