Probability Tes...

If $$4P(A) = 6P(B) = 10 P(A \cap B) = 1$$ then $$P\left(\dfrac{B}{A}\right)=$$  _________

Two boys are asked to select each one number from $$1$$ to $$100$$, the probability that they select the same number is 

Bag $$A$$ contains $$2$$ white and $$3$$ red balls and bag $$B$$ contains $$4$$ white and $$5$$ red balls. One ball is drawn at random from one of the bag is found to be red. Find the probability that it was drawn from bag $$B$$.

An urn contains $$10$$ balls coloured either black or red When selecting two balls from the urn at random, the probability that a ball of each color is selected is $$8/15$$. Assuming that the urn contains more black balls then red balls, the probability that at least one black ball is selected, when selecting two balls, is

A random variable $$X$$ has the probability distribution,

Three numbers are chosen at random from the set of first $$20$$ numbers, then the probability that their product is a multiple of $$3$$ is

If $$P(A)=0.40,P(B)=0.35$$ and $$P\left( A\cup B \right) =0.55$$, then $$P(A/B)=$$ ____

A pair of numbers is picked up randomly (without replacement ) from the set $$\{1,2,3,5,7,11,12,13,17,19\}$$. The probability that the number $$11$$ was picked given that the sum of the number was even is nearly:

One bag contains $$3$$ white & $$2$$ blacks and another contains $$2$$ white & $$3$$ black balls. A ball is drawn from the second bag & placed in the first, then a ball a ball is drawn from the first bag & placed in the second. when the pair of the operations is repeated, the probability that the first bag will contain $$5$$ white balls is:

Two different dice are tossed together. Find the probability of the sum of no's appearing on two dice is $$5$$.