Neelam is taking up subjects - Mathematics, Physics and Chemistry. She estimates that her probabilities of receiving a grade A in these courses. are 0.2, 0.3 and 0.9 respectively. If the grades can be regarded as independent events, find the probabilities that Neelam receives :
All A’s .

Neelam is taking up subjects - Mathematics, Physics and Chemistry. She estimates that her probabilities of receiving a grade A in these courses. are 0.2, 0.3 and 0.9 respectively. If the grades can be regarded as independent events, find the probabilities that Neelam receives : Exactly two A’s .

Three persons A,B and C apply for a job of manager in a private company. Chances of their selection are in the ratio 1:2:4. The probabilities that A,B and C can introduce changes to improve profits of the company are 0.8, 0.5 and 0.3 respectively. If the change does not take place, find the probability that it is due to appointment of C.

Three persons A, B and C apply for a job of Manager in a Private Company. Chances of their selection (A, B and C) are in the ratio 1 : 2 : 4. The probabilities that A, B and C can introduce changes to improve profits of the company are 0.8, 0.5 and 0.3 respectively. If the change does not take place, find the probability that it is due to the appointment of C.

The probability that a student will receive an A, B, C or D grade is 0.40, 0.35, 0.15 and 0.10 respectively. Find the probability that a student will receive : not an A grade.

The probability that a student will receive an A, B, C or D grade is 0.40, 0.35, 0.15 and 0.10 respectively. Find the probability that a student will receive : at most a C grade.

The probability that a student will receive an A, B, C or D grade is 0.40, 0.35, 0.15 and 0.10 respectively. Find the probability that a student will receive : B or C grade.

For three persons A, B and C the chances of being selected as Manager of a firm are in the ratio 4:1:2 respectively. The respective probabilities for them to introduce a radical change in marketing strategy are 0.3, 0.8 and 0.5. If the change does take place, find the probability that it is due to the appointment of B or C.

An anti aircraft gun can take a maximum of four shots at an enemy plane moving away from it. The probabiliteis of hitting the plane at the first, second, third, and fourth shot are 0.6, 0.5, 0.4, and 0.3 respectively. What is the probability that gun strikes the plane?

Three groups A, B and C are contesting for positions on the Board of Directors of a company. The probability of their winning are 0.5, 0.3 and 0.2, respectively. If the froup A wins, then the probabilityof introducing a new product is 0.7 and the corresponding probabilies for groups B and C are 0.6 and 0.5, respectively. Find the probability that the new product will be introduced.

An anti-air craft gun can take maximum four at an enemy plane, moving away from it. The probabilities oh hitting the plane at first, second, third and fourth shot are 0.4, 0.3, 0.2 and 0.1 respectively. What is the probability that the gun hits the plane? Do you agree with us that the success will raise the morale of Indian Army?