Human beings have 4 types of basic blood type: AB, A, B and O. In the US, about 43% of people are O type, 43% of people are A type, 10% of people are B type and 4% of people are AB type'. Now you are a doctor and have two patients waiting for blood transfusion. One of them has blood type O and can only accept blood type 0 transfusion; the other has blood type A and can receive either type O or A transfusion. Assume every donor's contribution can only support one patient (that is, one donor cannot donate blood to both patients). If you choose 5 donors randomly from the population, what's the probability that both of the patients are able to get blood transfusion? Round to four decimal places.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Human beings have 4 types of basic blood type: AB, A, B and O. In the US, about 43% of people are
O type, 43% of people are A type, 10% of people are B type and 4% of people are AB type'. Now you
are a doctor and have two patients waiting for blood transfusion. One of them has blood type O and
can only accept blood type O transfusion; the other has blood type A and can receive either type O
or A transfusion. Assume every donor's contribution can only support one patient (that is, one donor
cannot donate blood to both patients). If you choose 5 donors randomly from the population, what's
the probability that both of the patients are able to get blood transfusion? Round to four decimal
places.
Transcribed Image Text:Human beings have 4 types of basic blood type: AB, A, B and O. In the US, about 43% of people are O type, 43% of people are A type, 10% of people are B type and 4% of people are AB type'. Now you are a doctor and have two patients waiting for blood transfusion. One of them has blood type O and can only accept blood type O transfusion; the other has blood type A and can receive either type O or A transfusion. Assume every donor's contribution can only support one patient (that is, one donor cannot donate blood to both patients). If you choose 5 donors randomly from the population, what's the probability that both of the patients are able to get blood transfusion? Round to four decimal places.
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