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

Question

Charlie English

Mathematics

4 December, 16:46

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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Answers (1)

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Darrell Cochran · Answer 1

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