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

  1. A and O are mutually exclusive (since it is impossible for a person to have both bloodtypes)

  2. Events A and E are not mutually exclusive (since 6% of population have blood type A and a postive Rh, that is \(P(A\cap E) \neq 0\))

  3. Events E and F are compliments since
    \(P(E) + P(F) = 1\)
    \(P(E) = 1 - P(F)\)
    \( {{ params.a_pos }} + {{ params.b_pos }} + {{ params.ab_pos }} + {{ params.o_pos }} = 1 - ({{ params.a_neg }} + {{ params.b_neg }} + {{ params.ab_neg }} + {{ params.o_neg }} )\)
    \({{ params.lh }} = 1 - {{ params.rh }}\)

../../../../../_images/venn-blood.png

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#

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Attribution#

Problem is from the OpenIntro Statistics textbook, licensed under the CC-BY 4.0 license.
Image representing the Creative Commons 4.0 BY license.