Question

For a certain group of students, the probability of randomly selecting a student who takes an art class is 41%, the probability of randomly selecting a student who takes a music class is 29%, and the probability of randomly selecting a student who takes both an art and a music class is 18%.

What is the probability of randomly selecting a student who takes an art or music class?

HELP

Answer 1

When we use the expression "or", means that we are looking to the probability of the union of the two event, and the formula is this one:
$P(A\cup B)=P(A)+P(B)-P(A\cap B)$
Evaluate the formula like this:$0.41+0.29-0.18=O.52$
Answer:
52%

Answer 2

The probability of randomly selecting a student who takes an art or music class is 0.52

Given that,

• For a certain group of students, the probability of randomly selecting a student who takes an art class is 41%.
• the probability of randomly selecting a student who takes a music class is 29%, and the probability of randomly selecting a student who takes both an art and a music class is 18%.

Based on the above information, the calculation is as follows:

= 0.41 + 0.29 - 0.18

= 0.52

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