A fair coin is tossed four times and a person win Re 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 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.