A fair coin is tossed four times, and a person wins Re. 1 for each head and loses Rs 1.50 for each tail that turns up. From the sample space. calculate how many different amounts of money you can have after four tosses and the probability of having each of the these amounts.

How many times must a man toss a fair coin so that the probability of having at least one head is more than 90%?

A game consists of tossing a one rupee coin 3 times and noting its out come each time. Hanif wins if all the tosses give the same result i.e. Three heads or three tails, and loses otherwise. Calculate the probability that Hanif will lose the game.

A person plays a game of tossing a coin thrice. For each head he is given Rs 2 by the organiser of the game and for each tail he has to give Rs 1.50 to the organiser. Let X denote the amount gained or lost by the person. Show that 'X' is a random variable and exhibit it as a function on the sample space of the experiment.

A person plays a game of tossing a coin thrice. For each head, he is given Rs 2 by the organiser of the game and for each tail, he has to give Rs 1.50 to the organiser. Let X denote the amount gained or lost by the person. Show that X is a random variable and exhibit it as a function on the sample space of the experiment.

A total amount of Rs 7000 is deposited in three different savings bank accounts with annual interest rats 5%. 8% and 8 (1/2)% respectively. The total annual interest from these three accounts is Rs.550.Equal amount have been deposited in the 5% and 8% savings account. Find the amount deposited in each of the three accounts, with the help of matrices.

A box contains N coins, m of wiich 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 ?

Which of the following arguments are correct ? Give reasons for your answer : If two coins are tossed simultaneously there are three possible outcomes - two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is 1/3 .