Question

find the probability of the indicated event if ( p(e) = 0.30 ) and ( p(f) = 0.50 ).
find ( p(e \text{ or } f) ) if ( p(e \text{ and } f) = 0.20 ).
( p(e \text{ or } f)=square ) (simplify your answer)

Explanation:

Step1: Recall the formula for \(P(E\ or\ F)\)

The formula for the probability of the union of two events \(E\) and \(F\) is \(P(E\cup F)=P(E)+P(F)-P(E\cap F)\)

Step2: Substitute the given values into the formula

Given \(P(E) = 0.30\), \(P(F)=0.50\) and \(P(E\cap F) = 0.20\)
Substitute these values into the formula:
\(P(E\cup F)=0.30 + 0.50-0.20\)

Step3: Calculate the result

\(0.30+0.50 = 0.80\)
\(0.80 - 0.20=0.60\)

Answer:

\(0.60\)