Question

if p(e)=0.50, p(e or f)=0.55, and p(e and f)=0.10, find p(f).
p(f)= (simplify your answer.)

Explanation:

Step1: Recall the formula

$P(E\ or\ F)=P(E)+P(F)-P(E\ and\ F)$

Step2: Rearrange the formula to solve for P(F)

$P(F)=P(E\ or\ F)+P(E\ and\ F)-P(E)$

Step3: Substitute the given values

$P(F)=0.55 + 0.10-0.50$

Step4: Calculate the result

$P(F)=0.15$

Answer:

$0.15$