Question

s2 l2 4. events a and b are mutually exclusive. calculate the missing probability * p(a)=0.2 p(a∪b)=0.8 p(b)=? 0.6 1.0 25.0
s2 l3 3. determine if events a and b are mutually exclusive. * p(a)=\frac{3}{10} p(b)=\frac{1}{4} p(a or b)=\frac{23}{50} mutually exclusive not mutually exclusive

Explanation:

Step1: Recall probability formula for mutually - exclusive events

For mutually - exclusive events \(A\) and \(B\), \(P(A\cup B)=P(A)+P(B)\).

Step2: Rearrange the formula to solve for \(P(B)\)

We can rewrite the formula as \(P(B)=P(A\cup B)-P(A)\).

Step3: Substitute the given values

Given \(P(A) = 0.2\) and \(P(A\cup B)=0.8\), then \(P(B)=0.8 - 0.2\).

Step4: Calculate the result

\(P(B)=0.6\)

Answer:

\(0.6\)