Question

every person has blood type o, a, b, or ab. a random group of people are blood - typed, and the results are shown in the table.

blood type	number of people
a	20
b	6
ab	2

use the table to determine the following probabilities
the probability that a randomly chosen person from this group has type b is
the probability that a randomly chosen person from this group has type ab is
the probability that a randomly chosen person from this group has type b or type ab blood is

Explanation:

Step1: Calculate total number of people

$22 + 20+6 + 2=50$

Step2: Calculate probability of type B

The number of people with type B is 6. Probability $P(B)=\frac{6}{50}=\frac{3}{25}$

Step3: Calculate probability of type AB

The number of people with type AB is 2. Probability $P(AB)=\frac{2}{50}=\frac{1}{25}$

Step4: Calculate probability of type B or type AB

Using the formula $P(B\cup AB)=P(B)+P(AB)$. Since $P(B)=\frac{6}{50}$ and $P(AB)=\frac{2}{50}$, then $P(B\cup AB)=\frac{6 + 2}{50}=\frac{8}{50}=\frac{4}{25}$

Answer:

The probability that a randomly - chosen person from this group has type B is $\frac{3}{25}$
The probability that a randomly - chosen person from this group has type AB is $\frac{1}{25}$
The probability that a randomly - chosen person from this group has type B or type AB blood is $\frac{4}{25}$