Probability Tes...

If A & B are independent events such that $$P(B) = \dfrac{2}{7}, P(A\cup \overline{B})=0.8$$, then $$P(A)$$ is equal to

If $$P(A) = \cfrac{1}{4}, P(\overline{B})=\cfrac{1}{2}$$ and $$P(A\cup B) = \cfrac{5}{9}$$, then $$P(A/B)$$ is

For 3 events A, B and C, P(exactly one of the events A or B occurs) = P(exactly one of the events B or C occurs) = P(exactly one of the events C or A occurs) = p & P (all the three events occurs simultaneously) = $$p^2$$. Where $$ o < p < \frac{1}{2}$$. then the probability of at lest one of three events, A, B & C occurring is 

'X' speaks truth in $$60%$$ & 'y' is $$50%$$ of the cases. The probability that they contradict each other while narrating the same incident, is

An integer is chosen at random from first 200 positive integers. The probability that the integer chosen is divisible by 6 or 8 is 

The probability of simultaneous occurrence of 2 events A & B is $$p$$. If the probability that exactly one of A, B occurs is $$q$$, then which of the following alternatives is INCORRECT?  

If $$A$$ and $$B$$ are two event such that $$P(A)=\cfrac{3}{4}$$ and $$P(B)=\cfrac{5}{8}$$, then

For any 2 events A and B in a sample space which one of the following is incorrect?

A coin is tossed and a six-sided die is rolled. Find the probability of getting a head on the coin and a $$6$$ on the die.

If $$A$$ and $$B$$ are arbitrary events, then