Question

The distribution of blood groups in a city is:
A : 41%; AB : 4%; B : 9%; O : 46%
An individual injured in a car accident is brought into an emergency room of
the hospital
i) What is the probability that the individual belong to blood-group type A
or B or AB?
ii) Describe the sample space and events in the above question.

Answer 1

Answer on Question #46495 – Math – Statistics and Probability

The distribution of blood groups in a city is:

A : 41%; AB : 4%; B : 9%; O : 46%

An individual injured in a car accident is brought into an emergency room of the hospital

i) What is the probability that the individual belong to blood-group type A or B or AB?

ii) Describe the sample space and events in the above question.

Solution

i) The probability that the individual belong to blood-group type A or B or AB is

$$P(\mathrm{A} \text{ or } \mathrm{B} \text{ or } \mathrm{AB}) = P(\mathrm{A}) + P(\mathrm{B}) + P(\mathrm{AB}) = 0.41 + 0.09 + 0.04 = 0.54.$$

ii) The sample space $S$ is given by

$$S = \{A, AB, B, O\}.$$

The events in the above question are

$$E_1 \in A \cup AB \cup B.$$

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