Question

final exam fall2025 exam must be proctored. to support all answers must be uploaded. have z & s printed. 8 of 18 this test: 160 point(s) possible this question: 3 point(s) possible find the probability of the indicated event if p(e) = 0.30 and p(f) = 0.45 find p(e or f) if p(e and f) = 0.20. p(e or f) = (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

We are given that \(P(E) = 0.30\), \(P(F)=0.45\) and \(P(E\cap F) = 0.20\)
Substitute these values into the formula:
\(P(E\cup F)=0.30 + 0.45- 0.20\)

Step3: Calculate the result

\(P(E\cup F)=0.30+0.45 - 0.20=(0.30 + 0.45)-0.20=0.75-0.20 = 0.55\)

Answer:

\(0.55\)