A simplified model of the human blood-type system has four blood types: A, B, AB, and O. There are two antigens, anti-A and anti
-B, that react with a person’s blood in different ways depending on the blood type. AntiA reacts with blood types A and AB, but not with B and O. Anti-B reacts with blood types B and AB, but not with A and O. Suppose that a person’s blood is sampled and tested with the two antigens. Let A be the event that the blood reacts with anti-A, and let B be the event that it reacts with anti-B. Classify the person’s blood type using the events A, B, and their complements.
1 answer:
Answer: Blood type will be A when event "A" happened and event "B" did not happen. Blood type will be B when event "A" did not happened and event "B" happened. Blood type will be AB when both events happened and blood type will be O when both events did not happen.
Step-by-step explanation:
S={AntiA reacts; AntiA does not react; AntiB reacts; AntiB does not react}
If AntiA reacts and AntiB reacts = AB (A∩B)
If AntiA does not react and AntiB does not react= O (A'∩B')
If AntiA reacts and AntiB does not react= A (A∩B')
If AntiA does not react and AntiB reacts= B (A'∩B)
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