(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant equations

-None-

3. 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% ?

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# Homework Help: Math *Questions* Involving Probablity

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