Bag A contains 8 Red Pens, ‘X’ Blue Pens, and 7 Black Pens. The probability to pick Blue pen at random is 2/5. Another Bag B contains ‘X-4’ Red Pens, ‘X-5’ Black Pens and 5 Blue Pens. If two Pens are picked one after the other from Bag B at random then what is the probability for the Pens to be Blue?

In a college, $\frac{1}{5}th$ of the girls and $\frac{1}{8}\mathrm{th}$ of the boys took part in a social camp. The total number of students in the college took part in the camp is:

There are $6$ defective items in a sample of $20$ items. One item is drawn at random. The probability that it is a non-defective item is:

If $\mathrm{P}\left(\mathrm{A}\right)=\frac{2}{3}$, $\mathrm{P}\left(\overline{ \mathrm{A}} \right)$ is

Six persons $A, B, C, X, Y \& Z$ go for an interview. What is the probability of selection of $A$ and $Y$ in the interview?