For A, B and C the chances of being selected as the manager of a firm are in the ratio 4:1:2 respectively. The respective probabilities fro 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.

For A,B and C, the chances of being selected as the manager of a firm are 4:1:2 respectively. The probabilites for them to introduce a radical change in the marketing strategy are 0.3,0.8 and 0.5 respectively. If a change takes place, find the probability that it is due to the appoinment of B.

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 probabilities of A, B and C solving a problem are 1/3, 2/7 and 3/8 respectively. If all the thee try to solve the problem simultaneously, find the probability that exactly one of them can solve it.

The probabilities of hitting a target by A, B and C are 3/5,3/4 and 1/3 respectively. If all three hits the target simultaneously then find the probability of hitting the target by the least two of them.

A company has estimated that the probabilities of success fro there products introduced in the market are 1/3,2/5a n d2/3 respectively. Assuming independence, find the probability that the three products are successful. none of the products is successful,

Three persons A,B and C fire a target in turn . Their probabilities of hitting the target are 0.4 , 0.3 and 0.2 respectively . The probability of two hits is

A biased die is tossed and the respective probabilities for various faces to turn up are {:("Face",:,1,2,3,4,5,6),("Probability",:,0.1,0.24,0.19,0.18,0.15,0.14):} If an even face has turned up, then the probability that it is face 2 or face 4, is

A man takes the contract of construction work. The probability is 0.30, if there will be no strike. The probability that the construct work will be completed on time are 0.8 and 0.3 in cases of no strike and in case strike respectively. Find the probability that the construction work will be completed in time.

The probability that a student will receive A, B, C or D grade or 0.40, 0.3, 0.1 and 0.10 respectively. Find the probability that a student will receive. i. B or C grade ii. at most C grade.

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.