It is known that 60% of mice inoculated with a serum are protected from a certain disease. If  5 mice are inoculated, find the probability that (a) None contract the disease (b) More than 3 contract the disease.

The records of a hospital show that 10% of the cases of a certain disease are fatal. If 6 patients are suffering from the disease, then the probability that only three will die is

Five mice in a stable population of 500 are intentionally infected with a contagious disease to test a theory of epidemic spred that postulates the rate of change in the infected population is proportional to the product of the number of mice who have the disease with the number that are disease free. Assuming the theory is correct, how long will it take half the popullation to contract the disease?

In a certain college, 4% of boys and 1% of girls are taller than 1.75 metres. Furthermore, 60% of the students in the college are girls. A student is selected at random from the college and is found to be taller than 1.75 metres. Find the probability that the selected student is a girl.

In a certain college, 4% of boys and 1% of girls are taller than 1.75 metres. Furthermore, 60% of the students in the college are girls. A student is selected at random from the college and is found to be taller than 1.75 metres. Find the probability that the selected student is a girl.

In a certain population, 10% of the people are rich, 5% are famous, and 3% are rich and famous. Then find the probability that a person picked at random from the population is either famous or rich but not both.

In a certain population, 10% of the people are rich, 5% are famous, and 3% are rich and famous. Then find the probability that a person picked at random from the population is either famous or rich but not both.

A man and a woman, who do not show any apparent signs of a certain inherited disease, have seven children (2 daughters and 5 sons). Three of the sons suffer from the given disease but none of the daughters are affected. Which of the following mode of inheritance do you suggest for this disease ?

In a class, 5% of the boys and 10% of the girls have an IQ of more than 150. In this class 60% of the students are boys. If a student is selected at random and found to have an IQ of more than 150, find the probability that the student is a boy.

A box contains a certain number of balls. On each of 60% balls, letter A is marked. On each of 30% balls, letter B is marked and on each of remaining balls, letter C is marked. A ball is drawn from the box at random. Find the probability that the ball drawn is : (iii) neither B nor C.

Column I, Column II If the probability of getting at least one head is at least 0.8 in n trials, then value of n can be, p. 2 One mapping is selected at random from all mappings of the set s={1,2,3, ... ,n} into itself. If the probability that the mapping being one-one is 3/32, then the value of n is, q. 3 If m is selected at random from set {1,2,..., 10} and the probability that the quadratic equation 2x^2+2m x+m+1=0 has real roots is k , then value of 5k is more than, r. 4 A man firing at a distant target as 20% chance of hitting the target in one shoot. If P be the probabililty of hitting the target in "n" attempts , where 20 P^2-13 P+2lt=0, then the ratio of maximum and minimum value of n is less than, s. 5