Probability Tes...

A die is rolled 5 times. The probability there are at lest two equal numbers among the outcomes obtained is ___________.

A bag contains $$6$$ red, $$4$$ white and $$8$$ blue balls. If three balls are drawn at random, find the probability that one is red, one is white and one is blue.

In a random experiment a fair die is rolled until two fours are obtained in succession the probability that the experiment will end in the fifth throw of the die is equal.

If  $$P ( A ) = 0.8,$$  $$P ( B ) = 0.5$$   and  $$P \left( \dfrac { B } { A } \right) = 0.4$$ then  $$P \left( \dfrac { A } { B } \right) =?$$

Three number are chosen at random without replacement from {1,2,3,...8}. The probability that their minimum is 3, given that their maximum is 6 is 

The face cards are removed from a full pack. Out of the remaining $$40$$ cards, $$4$$ are drawn at random. What is the probability that they belong to different suits?

Two integers are selected at random from the set $${1,2,...,11}$$. Given that the sum of selected numbers is even, the conditional probability that both the numbers are even is:

Three letters are dictated to three persons and an envelop is addressed to each of them, the letters are insearted into the envelop at random so that each envelop contains exactly one letter . Find the probability that atleast one letter is in its proper envelop .

If a students selected at random is found to have passed the examination, then the probability that he was the only students who has passed the examination is 

If a students is selected random, then the probability that the has passed the examination is