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QUESTION IMAGE

find the probability of the indicated event if p(e)=0.20 and p(f)=0.45.…

Question

find the probability of the indicated event if p(e)=0.20 and p(f)=0.45. find p(e or f) if p(e and f)=0.15. p(e or f)= (simplify your answer.)

Explanation:

Step1: Recall the formula

The formula for $P(E\ or\ F)$ is $P(E\ or\ F)=P(E)+P(F)-P(E\ and\ F)$.

Step2: Substitute the given values

We are given $P(E) = 0.20$, $P(F)=0.45$ and $P(E\ and\ F)=0.15$. Substituting these values into the formula, we get $P(E\ or\ F)=0.20 + 0.45- 0.15$.

Step3: Calculate the result

$0.20+0.45 - 0.15=0.5$.

Answer:

$0.5$