Question

question 15
given ( p(e)=0.435, p(f)=0.35, p(e cup f)=0.627 ), what is the value of ( p(e cap f)=? )
note: enter your answer in the box below without rounding it.

Explanation:

Step1: Recall the formula

The formula for \(P(E\cup F)\) is \(P(E\cup F)=P(E)+P(F)-P(E\cap F)\).

Step2: Rearrange the formula

Rearrange the formula to solve for \(P(E\cap F)\): \(P(E\cap F)=P(E)+P(F)-P(E\cup F)\).

Step3: Substitute the values

Substitute \(P(E) = 0.435\), \(P(F)=0.35\), and \(P(E\cup F)=0.627\) into the formula: \(P(E\cap F)=0.435 + 0.35-0.627\).

Step4: Calculate the result

\(0.435+0.35 = 0.785\), then \(0.785-0.627=0.158\).

Answer:

\(0.158\)