Probability Tes...

'X' speaks truth in $$60\%$$ of the cases and 'Y' in $$50\%$$ of the cases. The probability that they contradict each other while narrating the some incident, is

If A and B are independent events of a random experiment such that $$P(A\cap B)=\dfrac{1}{6}$$ and $$P(\overline A\cap \overline B)=\dfrac{1}{3}$$, then $$P(A)$$ is equal to 

What is the probability of drawing a black card in a deck of cards?

The probability that a leap year selected at random contains either $$53$$ Sundays or $$53$$ Mondays, is 

A box contains $$100$$  bulbs, out of which $$10$$ are defective. A sample of  $$5$$  bulbs is drawn. The probability that none is defective is.

If $$A$$ and $$B$$ are two independent events such that $$P(\overline A)= \dfrac{7}{10}$$, $$P(\overline B)= \alpha$$ and $$P(A \cup B)= \dfrac{8}{10}$$, then $$\alpha$$ is

Let $$A$$ and $$B$$ two events such that $$P(A\cap B) = \dfrac{1}{6}, P(A\cup B) = \dfrac{31}{45}$$ and $$P(\overline{B}) = \dfrac{7}{10}$$ then

Which of the following is true for two independent events?

A policeman fires four bullets at a dacoit. The probability that the dacoit will be killed by one bullet is 0.6. What is the probability that the dacoit is still alive?

The probabilities that three men hit a target are 1/6, 1/4 and 1/3. Each man shoots once at the target. What is the probability that exactly one of them hits the target?