Question 1196908: For two events, E and F, you are given:
P(E) = 0.30
P(F) = 0.45
E and F are mutually exclusive events
What is the value of P(F | E)? Enter your answer as a decimal rounded to two decimal places.
Found 2 solutions by math_helper, math_tutor2020:
Answer by math_helper(2461)   (Show Source):
You can put this solution on YOUR website! E and F are mutually exclusive. Thus, on one trial/sample, if one event happens then the other can not happen.
Think of flipping a coin once, if you get heads then you can not get tails.
For the given problem, this means P(F|E) = 0 (0.00)
Answer by math_tutor2020(3817)  (Show Source):
You can put this solution on YOUR website!
The vertical bar means the keyword "given"
P(F | E) = P(F given E)
Mutually exclusive events are two events that have no overlap, and cannot happen simultaneously
Because E and F are mutually exclusive, this means
P(E and F) = 0
aka
P(F and E) = 0
Then we can use the conditional probability formula
P(F given E) = P(F and E)/P(E)
P(F given E) = 0/(0.30)
P(F given E) = 0
If event E happens, then we know that event F cannot happen (since they cant happen simultaneously)
Therefore, we know P(F) is zero if we know E happened already
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