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darshanpatel
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Homework Statement
1) How many times must you roll two six-sided dice for there to be at least a 50% chance that you roll two 6's at least once?2) It is estimated that 5.9% of Americans have diabetes. Suppose a medical lab uses a test for diabetes that 98% accurate for people who have the disease and 95% accurate for the people who do not have it. Find the conditional probability that a randomly selected person actually has diabetes given that the lab test says they have it.
Homework Equations
-None-
The Attempt at a Solution
Question One:
Work: chance of rolling a six(dice one) x chance of rolling a six(dice two) x one half
1/6 x 1/6 x 1/2 = 1/72
72 rolls?
Question Two:
Work:
P(accurate) x (accurate|don't have diabetes) - P(accurate) x (accurate|have diabetes)
(.95 x .941)-(.98 x .059)= .89395-.83163 = about 5.782% ?