Home
Class 12
MATHS
Aa n dB are two candidates seeking admis...

`Aa n dB` are two candidates seeking admission in ITT. The probability that `A` is selected is 0.5 and the probability that `Aa n dB` are selected is at most 0.3. Is it possible that the probability of `B` getting selected is 0.9?

Text Solution

AI Generated Solution

To determine if it is possible for the probability of candidate B getting selected to be 0.9, we can follow these steps: ### Step 1: Understand the Given Information We know: - The probability that candidate A is selected, \( P(A) = 0.5 \). - The probability that both candidates A and B are selected, \( P(A \cap B) \leq 0.3 \). ### Step 2: Use the Probability Formula ...
Promotional Banner

Similar Questions

Explore conceptually related problems

If A and B are two candidates seeking admission in an engineering college. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. Is it possible that the probability of B getting selected is 0.7 ?

are two candidates seeking admission in I.I.T. The probability that P is selected is 0.5 and the probability that both are selected is at most 0.3. Prove that the probability of being selected is at most 0.8

A and B are two candidates seeking admission in a college. The probability that A is selected is 0.7 and the probability that exactly one of them is selected is 0.6. Find the probability that B is selected.

A fair coin is tossed n times . If the probability of getting seven heads is equal to the probability of getting 9 heads , then the probability of getting two heads is

(n>=5) persons are sitting in a row. Three of these are selected at random. The probability that no two of the selected persons sit together is

In a class two third students are boys and remaining are girls. The probability of getting first class by a boy is 0.30 and the probability of getting first class by a girl is 0.24. The probability of getting first class by a randomly selected student is:

A and B appeared for an interview for two vacancies. The probability of A.s selection is 4/5 and B.s selection is 1/3. Find the probability that none of them will be selected.

{:("Column A","Everyone who passes the test will be awarded a degree. The probability that Tom passes the test is 0.5, and the probability that John passes the test is 0.4. The two events are independet of each other.", "Column B"),("The probability that both Tom and John get the degree",,"The probability that at least one of them gets the degree"):}

If the probabilities for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails is

The probability of happening of an event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events, then the probability of neither A nor B is…..