From a vessel containing 3 white and 6 black balls, 4 balls are transferred into an empty vessel. What is the probability that out of four balls transferred, 3 are white and 1 is b... From a vessel containing 3 white and 6 black balls, 4 balls are transferred into an empty vessel. What is the probability that out of four balls transferred, 3 are white and 1 is black? OR (ii) Two persons A and B make an appointment to meet on a certain day at a certain place between 4 pm and 5 pm at random points of time and agree that each is to wait no more than 15 minutes for the other. Assuming each is independently equally likely to arrive at any time during the hour, find that probability that they meet. (iii) A manufacturer of airplane parts from past experience that the probability is 0.80 that an order will be ready for shipment on time, and it is 0.70 that an order will be ready for shipment on time and will also be delivered on time. What is the probability such an order will be delivered on time given that it was ready for shipment on time? A coffee connoisseur claims that he can distinguish between a cup of instant coffee and a cup of percolator coffee 75% of the time. It is agreed that his claim will be accepted if he correctly identifies at least 5 of the 6 cups. Find his chances of making the claim accepted, rejected, when he does have the ability he claims. Assuming Poisson law for number of errors per page, find the probability that a random sample of 5 pages will contain no errors. Read more