Probability Tes...

If A and B are events such that $$P(A) = \dfrac{3}{8},$$ $$P(B) = \dfrac{5 }{ 8}$$ and $$P(A \cup B) = \dfrac{3}{4},$$ then $$P\left( {\dfrac{A}{ B}} \right) = $$

Three positions of a dice are shown below. How many dots will be there on the face  opposite to the face opposite to the face having $$6$$ dots?

If A and B are two events such that $$\displaystyle P\left( A \right) = {3 \over 8},$$  $$\displaystyle P\left( B \right) = {5 \over 8}$$  and  $$\displaystyle P\left( {A \cup B} \right) = {3 \over 4},$$  then  $$\displaystyle P\left( {{B \over A}} \right) = $$

Out of numbers $$1$$ to $$9$$, two numbers are chosen at random, so that their sum is even number. the probability that the two chosen numbers are odd is 

Two persons $$A$$ and $$B$$ throw a coin alternatively till one of them gets head and wins the game. Find the respective probabilities of  winning the  game?

Which one is not a requirement of a Binomial distribution?

A discrete random variable takes

There are $$4$$ balls of different colours & $$4$$ boxes of colours same as those of the balls. The number of ways in which the balls, one in each box, could be placed such that exactly no ball go to the box of its own colour is:

A traffic light runs repeatedly through the following cycle; green for 30 seconds, then yellow for 3 seconds, and then red for 30 seconds. Leah picks a random three-seconds time interval to watch the light. what is the probability that the color changes while she is watching