SOLUTION: Bob spins 2 spinners; one of which is labelled 1, 2, 3, and the other is labelled A, B, C and D. Given that all the outcomes are equally likely, find the probability that: a) t

Algebra ->  Probability-and-statistics -> SOLUTION: Bob spins 2 spinners; one of which is labelled 1, 2, 3, and the other is labelled A, B, C and D. Given that all the outcomes are equally likely, find the probability that: a) t      Log On


   



Question 254760: Bob spins 2 spinners; one of which is labelled 1, 2, 3, and the other is labelled A, B, C and D.
Given that all the outcomes are equally likely, find the probability that:
a) the spinner stops at "2" and "C"
b) the spinner stops at "3" and either "B" or "D"
c) the spinners stop at "A" and any number

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Bob spins 2 spinners; one of which is labelled 1, 2, 3, and the other is labelled A, B, C and D.
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Note: Spinner results are independent.
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Given that all the outcomes are equally likely, find the probability that:
a) the spinner stops at "2" and "C"
P(2 and C) = P(2)*P(C) = 1/3 * 1/4 = 1/12
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b) the spinner stops at "3" and either "B" or "D"
P(3 and (B or D)) = P(3) * P(B or D) = 1/3 * 2/4 = 1/6
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c) the spinners stop at "A" and any number
P(A and any number) = P(A)*P(any number) = (1/4)*1 = 1/4
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Cheers,
stan H.