Consider the experiment of throwing a die, if a multiple of 3 comes up, throw the die again and if any other number comes, toss a coin. Find the conditional probability of the event ‘the coin shows a tail’, given that ‘at least one die shows a 3’.

Consider the experiment of tossing a coin. If the coin shows head, toss it again but if it shows tail, then throw a die. Find the conditional probability of the event that the die shows a number greater than 4, given that there is at least one tail.

Two coins are tossed. What is the probability of getting 2 heads if it is known that at least one head comes up?

Find the probability of throwing a total of 8 in a single toss of a pair dice given that each dice shows up an odd number.

A fair die is tossed repeatedly until a 6 is obtained. Let X denote the number of tosses rerquired. The conditional probability that Xge6 given Xgt3 equals

A pair of coins is tossed once. Find the probability of showing at least one head is :

Four die are rolled. The number of ways in which atleast one die shows 3 , is

A coin is tossed 4 times. The probability that at least one head comes up is :