A lottery with 600 tickets gives one prize of Rs. 200, four prizes of Rs. 100, and six prizes of Rs. 50. If the ticket costs is Rs. 2, find the expected winning amount of a ticket.

Two balls are chosen randomly from an urn containing 8 white and 4 black balls. Suppose that we win Rs 20 for each black ball selected and we lose Rs 10 for each white ball selected . Find the expected winning amout and variance.

A hall has a capacity for 100 chairs. The cost of a red chair is Rs. 240, blue chair Rs. 260 and green chair Rs. 300. The total cost of chairs is Rs. 25,000. Find atleast 3 different solutions of the no. of chairs to be purchased.

A player tosses two unbaised coins. He wins Rs. 5 if two heads appear, Rs. 2 if one head appear and Rs. 1 if no head appear. Find the expected amount to win.

Consider a game where the player tosses a six sided fair die. If the face that comes up is 6, the player wins Rs. 36, otherwise he loses Rs. k^(2) , where k is the face that comes up k = {1, 2, 3, 4, 5}. The expected amount to win at this game in Rs. is

Find the amount received when 300 shares of FV Rs 100 , were sold at a discount of Rs 30

A dietician wishes to mix together two kinds of food X and Y in such a way that the mix tue contains atleast 10 unitws of vitamin A 12 units of vitamin B and 8 units of vitamin c. The vitamin contents of one kg food is given below. One kg of food X costs Rs. 16 and one kg of food Y costs Rs. 20. find the least cost of the mixture which will produce the required diet.

In a certains lottery 10,000 tickets are sold and ten equal prizes are awarded. What Is the probability of not getting a prize if you buy (a) one ticket (b) two tikets (c) 10 tickets.