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question 19 of 25 p(a)=0.60, p(b)=0.25, and p(a and b)=0.15. what is p(…

Question

question 19 of 25
p(a)=0.60, p(b)=0.25, and p(a and b)=0.15.
what is p(a or b)?
a. 0.85
b. 0.70
c. 0.75
d. 0.40

Explanation:

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

The formula for the probability of the union of two events \(A\) and \(B\) is \(P(A\cup B)=P(A)+P(B)-P(A\cap B)\)

Step2: Substitute the given values into the formula

Given \(P(A) = 0.60\), \(P(B)=0.25\), and \(P(A\cap B)=0.15\)

$$ LATEXBLOCK0 $$

Answer:

B. \(0.70\)