Question

question 10 of 10
$p(a)=0.60$, $p(b)=0.30$, and $p(a$ and $b)=0.15$. what is $p(a$ or $b)$?
a. 0.15
b. 0.18
c. 0.75
d. 0.90

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

We are given that \(P(A) = 0.60\), \(P(B)=0.30\), and \(P(A\cap B) = 0.15\). Substituting these values into the formula:
\(P(A\cup B)=0.60 + 0.30-0.15\)

Step3: Calculate the result

\(0.60+0.30 = 0.90\), then \(0.90 - 0.15=0.75\)

Answer:

C. 0.75