In a large consignment of apples are rotten. What is the probability that a carton of 48 apples contain less than two rotten ones ? Answer the questions using
(i) Binomial distribution
(ii) Poisson distribution

(i) Twelve balls are distributed at random among three boxes what is the probability that the first box will contain 3 balls ? (ii) If 'n' different biscuits are distributed amoong N beggers, find the chance that a particular begger receives exactly r ( lt n) biscuits.

(i) An urn contains 7 red and 3 black balls. Two balls are drawn one after another without replacement. What is the probability that the second ball is red if it is know that the first ball drawn is red. (ii) A box contains 8 red and 10 green balls. Two balls are drawn one after another without replacement. What is the probability that the second ball is green if it is know that the first ball drawn is red.

The number of persons joining a cinema ticket counter in a minute has poisson distribution with parameter 6. Find the probability that (i) no one joins the queue in a particular minute (ii) two or more persons oin the queue in a minute

Thee number of persons joining a cinema ticket counter is a minute has Poisson distribution with parameter 6. Find the probability that i) no one joins the queue in a particular minute ii) two or more persons join the queue is a minute.

Deficiency by examining a specimen of blood under microscope. Suppose a small fixed volume contains on an average 20 red cells for normal persons. Using the Poission distribution, find the probability that a specimen of blood taken from a normal person will contain less than 15 red cells.

A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1,2,3,4,5,6,7,8 (See figure), and these are equally likely outcomes. What is the probability that it will point at (i) 8 ? (ii) an odd number? (iii) a number greater than 2? (iv) a number less than 9?

Samples of four metals A, B, C and D were taken and added to the following solution one by one. The results obtained have been tabulated as follows. Use the Table above to answer the following questions about metals A, B, C and D. (i) Which is the most reactive metal? (ii) What would you observe if B is added to a solution of Copper(II) sulphate? (iii) Arrange the metals A, B, C and D in the order of decreasing reactivity.