Probability and Combinatorics: Analyzing Events and Card Draw Scenarios

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Probability and Combinatorics: Analyzing Events and Card Draw Scenarios 1. If A and B independent events and if P(A) =.45, P(B)=.5 and P(A B)=.7, determine P(B| 4). As the events are independent so P(B|A) = P(B) = 0.5 Answer: 0.5 2. An urn contains 8 white, 5 red and 3 blue chips. A person selects 4 chips without replacement. Determine the following probabilities: (Leave answers in fraction form and do not multiply out any fractions.) a) P(Exactly 2 chips are white) P(Exactly 2 chips are white) = P(2 are white and 2 are non white) = (8*T*8*7)/(16*15%14*13) = 14/195 Answer: T4195 b) P(The third chip is red) P(The third chip is red) =P(1*is red, 2° is red, 3" is non-red) + P(1* is non-red, 2" is red, 3" is non-red) + P(1* is red, 2° is non-red, 3 is non-red) + P(1* is non-red, 2* is non-red, 3" is non-red) = (S*4*11*13)/(16% 15% 14% 13)+ (1 1*5*10%13)/(16% 15% 14% [3)+ (S*11*10%13)/(16% 15% 14%13)+ (11%10%9%13)/(16*15%14*13) — Study
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