1. [16) There are 3 subway routes going from Jane\'s house to the City Library a
ID: 3047253 • Letter: 1
Question
1. [16) There are 3 subway routes going from Jane's house to the City Library and 4 bus routes from the Library to the AMC Theater. Jane plans to go to the Library to study there before going to the Theater at night. How many ways can she take going to the Library first and then to the Theater? 2. [16 In a group of blood donors, the record showed that 1 in 5 have O, and 1 in 16 have O- blood, whereas 1 in 4 have At, and 1 in 12 have A- blood. A blood donor is selected at random. What is the probability that this selected person has: (a) type O+ blood? (b) type A+ blood? (e) type A or type O blood? (d) neither type A nor type O blood? 3. [24] Let A and B be two events such that P(a-04, P(B) 0.7, and P(AUB)-0.85. Find: (a) P(An B), (b) P(A" UB"), (c) P(A" n B"), (d) P(A B).Explanation / Answer
(answer of 2)
P(O+)=1/5 , P(O-)=1/16, P(A+)=1/4 ,P(A-)=1/12
(a)probability of type (O+)= P(O+)=1/5
(b)probability of type (A+)= P(A+)=1/4
(c) P(type A or O)=P(A+ or A- or O+ or O-)=P(A+)+P(A-)+P(O+)+P(O-)=(1/5 )+ (1/16) + (1/4 )+ (1/12)=0.5958
(d) P(neither A nor O type)=1-P(type A or type O)=1-0.5958=0.4042
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