Blood types#
AC | B | AB | O | |
---|---|---|---|---|
Rh positive | ${{ params.a_pos }}$ | ${{ params.b_pos }}$ | ${{ params.ab_pos }}$ | ${{ params.o_pos }}$ |
Rh negative | ${{ params.a_neg }}$ | ${{ params.b_neg }}$ | ${{ params.ab_neg }}$ | ${{ params.o_neg }}$ |
A person with type O blood and a negative Rh factor can donate blood to any blood type. We define the following events:
A: The person has blood type
B: The person has blood type B.
C: The person has blood type AB
D: The person has blood type O
E: The person is Rh positive
F: The person is Rh negative
A and O are mutually exclusive (since it is impossible for a person to have both bloodtypes)
Events A and E are not mutually exclusive (since 6% of population have blood type A and a postive Rh, that is \(P(A\cap E) \neq 0\))
Events E and F are compliments since
\(P(E) + P(F) = 1\)
\(P(E) = 1 - P(F)\)
\( {{ params.a_pos }} + {{ params.b_pos }} + {{ params.ab_pos }} + {{ params.o_pos }} = 1 - ({{ params.a_neg }} + {{ params.b_neg }} + {{ params.ab_neg }} + {{ params.o_neg }} )\)
\({{ params.lh }} = 1 - {{ params.rh }}\)

Round all answers to 3 decimal places.
Part 1#
What is the value of \(w\) in the venn diagram above.
Answer Section#
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Part 2#
What is the value of \(x\) in the venn diagram above.
Answer Section#
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Part 3#
What is the value of \(y\) in the venn diagram above.
Answer Section#
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Part 4#
What is the value of \(z\), in the venn diagram above.
Answer Section#
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Part 5#
Calculate \(P(O)\)
Answer Section#
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Part 6#
Given that a randomly selected person has type O what is the probability that they can donate blood to any person with any blood type?
Answer Section#
Please enter a numeric value in.
Attribution#
Problem is from the OpenIntro Statistics textbook, licensed under the CC-BY 4.0 license.