Randomly selected one person from rural area for the following study. It is found that probability of an event that person has botanical allergy (i.e. plants allergy) is `(7)/(20)` & probability by sand and plant is `(3)/(17)`. If person has allergy by plants then find the probability that person has allergy by sand.
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In a city 40% persons have gray hair, 25% person have gray eyes and 15% person have gray hair as well as gray eyes. One person is selected at random then ........ is the probability of an event that person has gray hair and gray eyes.
In an interview for a job, 5 boys and 3 girls appeared. If 4 persons are to be selected at randon from this group, then find the probability that 3 boys and 1 girl or 1 boy and 3 girls are selected.
A person has 21 tickets with numbered 1 to 21. Three tickets are selected from it at random. Find the probability of an event that numbers of selected three tickets are in A.P.
A laboratory blood test is 99% effective in detecting a certain disease when it is in fact, present. However, the test also yields a false positive result for 0.5% of the healthy person tested (i.e. if a healthy person is tested, then, with probability 0.005, the test will imply he has the disease). If 0.1 percent of the population actually has the disease, what is the probability that a person has the disease given that his test result is positive ?
By examining the chest X-ray probability that T.B. is detected when person is actually suffering is 0.99. The probability that doctor diagnoses incorrectly that person has T. B. on the basis of X-ray is 0.001. In certain city 1 to 1000 persons suffering from T.B. A person is selected at random is diagnosed to have a T.B. what is the chance he has actually T.B. ?
A computer producing factory has only two plants T_(1) and T_(2) . Plant T_(1) produces 20% and plant T_(2) produces 80% of the total computers produced. 7% of computers produced in the factory turn out to be defective. It is known that P(computer turns out to bedefective, given that it is produced in plant T_(1) )=10P (computer turns out to be defective, given that it is produced in plant T_(2) ), where P(E) denotes the probability of an event E.A computer produced in the factory is randomly selected and it does not turn out to be defective. Then, the probability that it is produced in plant T_(2) , is
There are N coins in a box in which M are balanced coin and remaining are unbalanced. When balanced coin is tossed has probability (1)/(2) and for unbalanced coin probability is (2)/(3) Now one coin is selected from box at random and it is tossed twice, It is known that head on first toss and tail on second toss is obtained. Then prove that probability of an event that selected coin is balanced is (9M)/(8N + M) .
In a group at 100 men 5 persons are good lecturers and from 1000 women 5 are good lecturers. Here numbers of men and women are equal. One good lecturer is selected from the group. Find the probability of an event that selected lecturer is man.
An insurance company selected 2000 drivers at random (i.e., without any preference of one driver over another) in a particular city to find a relationship between age and accidents . The data obtained are given in following table : Find the probabilities of the following events for a driver chosen at random from the city. having no accidents in one year
KUMAR PRAKASHAN-PROBABILITY-Practice Paper - 13 (Section - D (Answer the following questions))
