Question

find the indicated probability.

if \\(p(a \text{ or } b) = 0.7\\), \\(p(a) = 0.4\\), and \\(p(a \text{ and } b) = 0.25\\), find \\(p(b)\\).

\\(p(b) = \\)
(simplify your answer. type an integer or a decimal.)

Explanation:

State the addition rule formula

$$ P(A \text{ or } B) = P(A) + P(B) - P(A \text{ and } B) $$

Substitute the given values

$$ 0.7 = 0.4 + P(B) - 0.25 $$

Solve for P(B)

$$
LATEXBLOCK0
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Answer:

If \(P(A \text{ or } B) = 0.7\), \(P(A) = 0.4\), and \(P(A \text{ and } B) = 0.25\), find \(P(B)\).

\(P(B) =\) <blank>0.55</blank>