Question

s2 l2 5. calculate p(a or b) given: * p(a)=0.65 p(b)=0.45 p(a∩b)=0.25 0.20=20% 0.85=85% 0.65=65%

Explanation:

Step1: Recall probability formula

The formula for $P(A\cup B)$ is $P(A\cup B)=P(A)+P(B)-P(A\cap B)$. We want to find $P(A\cup B)$ which is the probability of $A$ or $B$. We are given $P(A) = 0.65$, $P(B)=0.45$ and $P(A\cap B)=0.25$.

Step2: Substitute values

Substitute the given values into the formula: $P(A\cup B)=0.65 + 0.45- 0.25$.

Step3: Calculate result

$P(A\cup B)=0.85$.

Answer:

$0.85$