SOLUTION: Monica has a bag with 30 marbles. 5 of the marbles are blue and striped, 10 of the marbles are striped but not blue, and 5 of the marbles are blue but not striped. Use probability

Algebra ->  Probability-and-statistics -> SOLUTION: Monica has a bag with 30 marbles. 5 of the marbles are blue and striped, 10 of the marbles are striped but not blue, and 5 of the marbles are blue but not striped. Use probability       Log On


   

Question 1071522: Monica has a bag with 30 marbles. 5 of the marbles are blue and striped, 10 of the marbles are striped but not blue, and 5 of the marbles are blue but not striped. Use probability to decide if picking a blue marble and picking a marble that has stripes are independent events.
Answer by stanbon(75887) About Me  (Show Source):
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Monica has a bag with 30 marbles. 5 of the marbles are blue and striped, 10 of the marbles are striped but not blue, and 5 of the marbles are blue but not striped. Use probability to decide if picking a blue marble and picking a marble that has stripes are independent events.
P(blue)*P(striped) = (5+5)/30 *(5+10)/30 = (1/3)(1/2) = 1/6
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P(blue | striped) = P(blue and striped)/P(striped) = (5/30)/(15/30) = 1/3
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Conclusion:: Not independent events.
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Cheers,
Stan H.
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