Unformatted text preview: B)=P(U)+P(B)=0.168 3/7 CEE 202 – Engineering Risk & Uncertainty Spring 2011 (Bond) b) Homework 2 Combining probabilities This is conditional probability: given the condition that the accident was caused by unsafe conditions, what is the probability that it occurred on the graveyard shift. The unsafe conditions here include unsafe conditions only and both contributed P(G(U⋃B))=P(G⋂(U⋃B))/P(U⋃B)=(P(G⋂U)+P(G⋂B) )/P(U⋃B) =P (G)* (P (UG)+ P(BG))/P(U⋃B) =0.3952*(0.05+0.05)/0.1683 =0.235 4/7 CEE 202 – Engineering Risk & Uncertainty Spring 2011 (Bond) Homework 2 Combining probabilities 4) (15 points) From a standard 52
card deck, you draw a full house (two of one kind and three of another). a) What is the probability of this event? b) What is the probability that the hand you drew contains exactly two aces? Answer: ȹ 52 ȹ 52!
The sample space is N = ȹ ȹ =
= 2598960 5 Ⱥ 5!47!
ȹ a) For...
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