Question

A blood bank asserts that a person with type O blood and a negative Rh factor (Rh−) can donate blood to any person with any blood type. Their data show that 45% of people have type O blood and 15% of people have Rh− factor; 49% of people have type O or Rh− factor.

Find the probability that a person has both type O blood and the Rh− factor.

Answer 1

82 %

Positive Rh factor given type A blood

Explanation:

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Answer 2

P(O) = 0.45
P(R) = 0.15

`P(O\cup R)=0.49`
The formula for the probability of one event or another can be written as:

`P(O\cup R)=P(O)+P(R)-P(O\cap R)`
Plugging in the given values, we get:

`0.49=0.45+0.15-P(O\cap R)`
which can be rearranged to find the probability that a person has both type O blood and the Rh− factor, as follows:

`P(O\cap R)=0.60-0.49=0.11`
So the required probability is 0.11 or as a percentage 11%.