A man alternately tosses a coin and throws a die beginning with the coin. The probability that he gets a head in the coin before he gets a 5 or 6 in the dice is a. 3//4 b. 1//2 c. 1//3 d. none of these

A fair coin is tossed a fixed number of times. If the probability of getting seven heads is equal to that of getting nine heads, find the probability of getting exactly two heads.

Outcomes of which of the following experiments are equally likely? 1. Getting a digit 1, 2, 3, 4, 5 or 6 when a die is rolled. Selecting a different colour ball from a bag of 5 red balls, 4 blue balls and 1 black ball. Winning in a game of carrom. Units place of a two digit number selected may be 0, 1, 2, 3, 4, 5, 6, 7, 8 or 9. Selecting a different colour ball from a bag of 10 red balls, 10 blue balls and 10 black balls. Raining on a particular day of July

It a fair coin is tossed 6 times, what is the probability of getting at least 3 heads?

A box contains N coins m of which are fair and the rest are biased. The probability of getting a head when a fair coin is tossed is 1/2, while it is 2/3 when a biased coin is tossed. A coin is drawn from the box at random and is tossed twice. The first time it shows head and the second time it shows tail. What is the probability that the coin drawn is fair?

In a game, the entry fee is Rs. 150. The game consists of tossing a coin 3 times. Dhana bought a ticket for entry. If one or two heads show, she gets her entry fee back. If she throuws 3 heads, she receives double the entry fees. Otherwise she will lose. Find the probability that she (i) gets double entry fee (ii) just gets her entry fee (iii) loses the entry fee.

Consider the experiment of throwing a die, if a multiple 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 'atleast one die shows a 3'.

In a game called odd man out m(m >2) persons toss a coin to determine who will but refreshments for the entire group. A person who gets an outcome different from that of the rest of the members of the group is called the odd man out. The probability that there is a loser in any game is 1//2m b. m//2^(m-1) c. 2//m d. none of these

Three fair coins are tossed together. Find the probability of getting ' all tails'.

A fair coin is tossed n times. Let a_(n) denotes the number of cases in which no two heads occur consecutively. Then which of the following is not true ?