Question

let a and b be two events with the following probabilities.

• ( p(a)=0.6 )
• ( p(b)=0.5 )
• ( p(a \text{ and } b)=0.3 )

what is ( p(a \text{ or } b) )?
write your answer as a decimal. do not round.

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 \(P(A) = 0.6\), \(P(B)=0.5\) and \(P(A\cap B)=0.3\)

$$
LATEXBLOCK0
$$

Step3: Calculate the result

\(P(A\cup B)=0.8\)

Answer:

\(0.8\)