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Probabilities and conditional probabilities.

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I have been struggling with theses two following problems:
illustration: age a(0.00%) b(0.01-0.9%) c(>_0.10%)
d 0-19 142 7 6 155
e 20-39 47 8 41 96
f 40-59 29 8 77 114
g 60 or over 47 7 35 89
---- --- ---- ----
265 30 159 454
a) using the information above calculate the following p(A or D), P(b or f), P(c or G), P(b or C or G)

b)using the table calculate the conditional probability of C given each of the age groups, or p(c/d), P(c/e), etc compare these probabilities and speculate as to which age groups seem more likely than others to have been (according to the legal definition at that time, 0.10% blood alcohol content) intoxicated at the time they were victims.

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Solution Summary

The solution provides step by step method for the calculation of probabilities and conditional probabilities. Formula for the calculation and Interpretations of the results are also included.

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Probability / conditional probability

In your opinion, the best outcome would be to have the communications contract awarded to your company but to have the construction contract awarded to a different company. This is not because you are fond of your competition, but instead because if you were to win both, the result would place some strain on your (relatively) small firm's resources. Of course, if the construction contract were the only one you received, it would be good for the firm. You have placed subjective probabilities of 0.60 and 0.45 on the communications and construction contracts respectively, and believe that these events may be considered statistically independent for the purpose of these calculations.

---Find the probability that the result is your best outcome.

---Given that you are awarded at least one contract, find the conditional probability that (in particular) you are awarded the communications contract. This may not be as straightforward as it might appear.

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