Suppose E and F are two events of a random experiment. If the probability of occurence of E is $$15$$ and the probability of occurence of F given E is $$110$$ . Then the probability of $$non-occurance$$ of atleast one of the events E and F is

Question

Suppose E  and F are two events of a  random experiment. If the probability of occurence of E is $$15$$      and the probability  of occurence of F given E is $$110$$     . Then the probability of $$non-occurance$$ of atleast one of  the events E and F is

Infinity Learn · Accepted Answer

Given that: $$P(E)=15$$ ;   $$P(F/E)$$ $$=$$ $$110$$                        $$P(F$$∩$$E)$$ $$=$$ $$PEPFE=150$$  $$P(F$$¯ ∪ E¯$$)$$ $$=$$ $$1$$−$$P(E$$∩$$F)$$                    $$=$$ $$1$$− $$150$$ $$=$$ $$4950$$

Suppose E and F are two events of a random experiment. If the probability of occurence of E is $\frac{1}{5}$ and the probability of occurence of F given E is $\frac{1}{10}$ . Then the probability of non-occurance of atleast one of the events E and F is

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Suppose E and F are two events of a random experiment. If the probability of occurence of E is 15 and the probability of occurence of F given E is 110 . Then the probability of non-occurance of atleast one of the events E and F is

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Suppose E and F are two events of a random experiment. If the probability of occurence of E is $\frac{1}{5}$ and the probability of occurence of F given E is $\frac{1}{10}$ . Then the probability of non-occurance of atleast one of the events E and F is