Probability Tes...

If $$\dfrac{1+4p}{p},\dfrac{1-p}{4}, \dfrac{1-2p}{2}$$ are propabilities of three mutually exclusive events, then-

If $$P(A)=\dfrac{1}{2}$$, $$P(B)=\dfrac{3}{8}$$ and $$P(A\cap B)=\dfrac{1}{5}$$ then P(B|A) is equal tp:

For the probability distribution given by $$\left.\begin{matrix} X=x_i & 0 \\ P. & \dfrac{25}{36}\end{matrix}\right|$$ $$\begin{matrix} 1 \\ 5 \\ 18\end{matrix}$$ $$\begin{vmatrix} 2 \\ 1 \\ 36\end{vmatrix}$$ the standard deviation $$(\sigma)$$ is?

The probability of happening of an event A is $$0.5$$ and that of B is $$0.3$$. If A and B are mutually exclusive events, then the probability of neither A nor B is?

Given that $$A \subset B$$, then identify the correct statement 

The number of committees formed by taking $$5men$$ and $$5women$$ from $$6women$$ and $$7men$$ are

Probability of hitting a target independently of $$4$$ persons are $$\dfrac{1}{2}, \dfrac{1}{3}, \dfrac{1}{4}, \dfrac{1}{8}$$. Then the probability that target is hit, is?

A coin is rolled n times. If the probability of getting head at least once is greater than $$90\%$$ then the minimum value of n is?

Assume that each born child is equally likely to be a boy or a girl. If two families have two children each, then the conditional probability that all children are girls given that at least two are girls is:

A problem in mathematics is given to $$4$$ students whose chances of solving individually are $$\dfrac{1}{2}, \dfrac{1}{3}, \dfrac{1}{4}$$ and $$\dfrac{1}{5}$$. The probability that the problem will be solved at least by one student is?