Probability Tes...

$$P (\overline A\cup B)$$

South African cricket captain lost the toss of a coin 13 times out of 14. The chance of this happening was

Box $$I$$ contains $$5$$ red and $$4$$ blue balls, while box $$II$$ contains $$4$$ red and $$2$$ blue balls. A fair die is thrown. If it turns up a multiple of $$3$$, a ball is drawn from the box $$I$$ else a ball is drawn from box $$II$$. Find the probability of the event ball drawn is from the box $$I$$ if it is blue.

Consider two events $$A, B$$ of an experiment satisfying $$P(A\cup \overline B)=\dfrac {3}{4}$$ & $$P(B)=\dfrac {1}{2}$$, then $$P(\dfrac{A}{B})$$ is equal to

The probability that an automobile will be stolen and found within one week is $$0.0006.$$ The probability that an automobile will be stolen is $$ 0.0015$$. The probability that a stolen automobile will be found in one week is

Let $$A$$ and $$B$$ are events of an experiment and $$P(A)= 1/4, P(A \cup B) = 1/2,$$ then value of $$ P(B/A^{C})$$ is

One ticket is selected at randon from $$ 100 $$ tickets numbered $$ 00,01,02, ...., 99.$$  Suppose A and B are the sum and product of the digits found on the ticket. Then $$ P((A =7)/(B =0)) $$ is given by

A and B are two events such that $$P(\overline A)=0.3, P(\overline B)=0.25$$ and $$P(\overline A\cap \overline B)=0.2$$ then $$P\left (\dfrac {A}{B}\right )$$ is

A school has five houses A, B, C, D and E. A class has 23 students, 4 from house A, 8. from house B, 5 from  house C, 2 from house 0 and rest from house E. A single student is selected at random ,to be the class monitor. The probability that the selected student is not from A, Band C is?

A box contains $$5$$ red balls, $$4$$ green balls and $$7$$ white balls. A ball is drawn at random from the box. Find the probability that the ball drawn is neither red nor white?