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18 March, 08:51

Juan is spinning a wheel with 4 unequal spaces marked with values of $200, $300, $400, and $600. The probability of landing on $200 is 2/9. The probability of landing on $300 is 4/9. The probability of landing on $400 is 2/9. The probability of landing on $600 is 1/9. The expected value of spinning the wheel once is $, and the expected value of spinning the wheel three times is

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  1. 18 March, 11:17
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    A]

    The expected value of spinning the wheel is given by:

    E (x) = 2/9 (200) + 4/9 (300) + 2/9 (400) + 1/9 (600)

    E (x) = 44 4/9+133 1/3+88 8/9+66 2/3

    E (x) = 333 1/3

    b] The expected value of spinning the wheel thrice will be:

    (expected value of spinning once) * (number of spins)

    =333 1/3*3

    =1000/3*3

    =1000
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