Suppose a student from the class is randomly chosen. Let A = student has black hair and B = student wears glasses. 1. What is the meaning of P(A and B) in this context? To calculate it we simply count the number of students in the ________________________ of A and B and then divide by the ________________________________________________________. Suppose the following question is asked: What is the probability that two students chosen with replacement , what is the probability both students wear glasses? This situation can also be written in the form P(A and B). To do so let: A = B =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.6: Permutations
Problem 25E
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Suppose a student from the class is randomly chosen.
Let A = student has black hair and B = student wears glasses.
1. What is the meaning of P(A and B) in this context?
To calculate it we simply count the number of students in the ________________________ of A and
B and then divide by the ________________________________________________________.
Suppose the following question is asked: What is the probability that two students chosen
with replacement , what is the probability both students wear glasses? This situation can
also be written in the form P(A and B). To do so let:
A =
B =
Then P(both students where glasses) = P(A and B). This P(A and B) seems different from
#1. This is a multi-stage experiment. To calculate this type of P(A and B) we need the
multiplication rule.

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