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find the probability that event a or b will occur. p(a or b) =

Question

find the probability that event a or b will occur. p(a or b) =

Explanation:

Step1: Use the formula for \(P(A\ or\ B)\)

\(P(A\ or\ B)=P(A)+P(B)-P(A\ and\ B)\)
Here, \(P(A)=\frac{2}{21}+\frac{4}{21}=\frac{6}{21}\), \(P(B)=\frac{4}{21}+\frac{10}{21}=\frac{14}{21}\), and \(P(A\ and\ B)=\frac{4}{21}\)

Step2: Substitute values into the formula

$$ LATEXBLOCK0 $$

Answer:

\(\frac{16}{21}\)