$A$ box contains $10$ mangoes,out of which $4$ are spoiled. $2$ mangoes are taken together at random. If one of them is found to be good,then the probability that the other is also good is:

If $P(A | B) > P(A)$,then which of the following is correct?

Bag $A$ contains $9$ white and $8$ black balls,while bag $B$ contains $6$ white and $4$ black balls. One ball is randomly picked up from bag $B$ and mixed with the balls in bag $A$. Then a ball is randomly drawn from bag $A$. If the probability that the ball drawn is white is $p/q$ (where $gcd(p,q)=1$),then $p+q$ is equal to:

If $6 P(A) = 8 P(B) = 14 P(A \cap B) = 1$,then $P(A' \mid B) = $ . . . . . . .

$A$ bag contains $3$ red and $7$ black balls. Two balls are taken out at random,without replacement. If the first ball taken out is red,what is the probability that the second ball taken out is also red?

For two events $A$ and $B$,a true statement among the following is