A fair coin is tossed four times and a person win Rs. 1 for each head and lose 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 these amounts.

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 man bought same books of same price for 80 rupees. If he had bought four more books in this amount each. book would have cost 1 rupee less. How many books did he buy?

A man owns a field of area 1,000 sq.m. He wants to plant fruit trees in it. He has a sum of Rs. 1,400 to purchase young trees. He has the choice of two types of the tree. Type A requires 10 sq.m of ground per tree and cost. Rs. 20 per tree and type B requires 20 sq.m of ground per tree and cost Rs. 25 per tree. When fully grown, type A produces an average of 20 kg fruit Which can be sold at a profit of Rs. 2 per kg and type B produces. an average of 40 kg of fruit which can be sold at a profit.of Rs. 1.50 per kg. How many of each type should he plant to achieve maximum profit when the trees are fully grown? What is the maximum profit?

An investment firm claims that you can double your money every year if you invest with them. Suppose you invest Rs. 100 How many years would it take for you to have over Rs. 1,00,000

A firm manufactures 3 products A,B and C.The profit are Rs.3,Rs.2 and Rs.4 respectively.The firm has 2 machines and below is the required processing time in minutes for each machine on each product:Machine M_1 and M_2 have 2000 and 2500 machine minutes respectively.The firm must manufacture 100A's,200B's and 50C's but not more than 150A's.Set up a LPP to maximize the profit.