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
o | 22
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

First, we find the total number of people by adding the number of people for each blood type. So, \(22 + 20 + 6 + 2 = 50\).

Step2: Probability of type B

The probability of an event is the number of favorable outcomes divided by the total number of outcomes. For type B, the number of favorable outcomes is 6, and total is 50. So, probability \(P(B)=\frac{6}{50}=\frac{3}{25}\).

Step3: Probability of type AB

For type AB, the number of favorable outcomes is 2, total is 50. So, probability \(P(AB)=\frac{2}{50}=\frac{1}{25}\).

Step4: Probability of B or AB

For the probability of B or AB, we add the number of people with B and AB, then divide by total. Number of B or AB is \(6 + 2 = 8\), so probability \(P(B\ or\ AB)=\frac{8}{50}=\frac{4}{25}\).

Answer:

The probability that a randomly chosen person from this group has type B is \(\frac{3}{25}\) (or 0.12).
The probability that a randomly chosen person from this group has type AB is \(\frac{1}{25}\) (or 0.04).
The probability that a randomly chosen person from this group has type B or type AB blood is \(\frac{4}{25}\) (or 0.16).