**Mathematics Guess Paper 2013 set- 2, given here.**

13. A man is known to speak the truth in 3 out of 4 times. He throws a die and reports that it is a six. Find the probability that it is actually a six

19. Three balls are drawn without replacement from a bag containing 5 white and 4 green balls. Find the probability distribution of the number of green balls drawn.

23. In a bulb factory, machines A, B and C manufacture 60%, 30%, and 10% bulbs respectively. 1%, 2% & 3% of the bulbs produced respectively by A, B & C are found to be defective. A bulb is picked up at random from the total production & found to be defective. Find the probability that this bulb was produced by the machine A.

26. A manufacturing company makes two models A and B of a product. Each piece of model A requires 9 labour hours for fabricating and 1 labour hour for finishing. Each piece of model B requires 12 labour hours for fabricating and 3 labour hour for finishing. For fabricating & finishing, the maximum labour hours available are 180 & 30 respectively. The company makes a profit of Rs. 8,000 on each piece of model A & Rs. 12,000 on each piece of model B. How many pieces of model A & model B should be manufactured per week to realise a maximum profit? What is the maximum profit per week?