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the addition rule for the probability that events a or b or c will occu…

Question

the addition rule for the probability that events a or b or c will occur, p(a or b or c), is given by p(a or b or c) = p(a) + p(b) + p(c) - p(a and b) - p(a and c) - p(b and c) + p(a and b and c)

find p(a or b or c) for the given probabilities.

p(a) = 0.33, p(b) = 0.29, p(c) = 0.16
p(a and b) = 0.12, p(a and c) = 0.03, p(b and c) = 0.06
p(a and b and c) = 0.01

p(a or b or c) =

Explanation:

Identify the given values and formula

Using the Addition Rule for Probability knowledge point

$$ LATEXBLOCK0 $$

Substitute the values and calculate

Using the Addition Rule for Probability knowledge point

$$ LATEXBLOCK1 $$

Answer:

Find \(P(A \text{ or } B \text{ or } C)\) for the given probabilities.

\(P(A \text{ or } B \text{ or } C) =\) <blank>\(0.58\)</blank>