Mathematics: Suppose that E and f are two events and that P(E and F)=0.3 and P(E)=0.5. What is P(F/E)?

Suppose that E and f are two events and that P(E

ashleytorrao65541

10.02.2022

P(F/E) = 0.6

Step-by-step explanation:

If we are given two dependent events and such that their chances of occurrence or the probabilities of the events are: P(A) and P(B) .

Then the conditional probability that the event will occur given that has already occurred is given by the following formula:

$P(B/A) = \dfrac{P(A \cap B)}{P(A)}$

Here the two events given are and .

$P(E\ and\ F)\ or\ P(E\cup F) = 0.3$

and P(E) = 0.5

As per the above formula that we have already discussed, the formula can be written as:

$P(F/E) = \dfrac{P(E \cap F)}{P(E)}\\\Rightarrow P(F/E) = \dfrac{0.3}{0.5}\\\Rightarrow P(F/E) = \dfrac{3}{5}\\\Rightarrow \bold{P(F/E) = 0.6}$

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risolatziyovudd

16.07.2021

He multiplied 3/4 by 1/5 instead of dividing 3/4 by 1/5.

Step-by-step explanation:

Correct is 3/4 / 1/5

= 3/4 * 5

= 15/4 gallons per minute.

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