Question
The probability of selecting 2 one-rupee coins from a
collection of 'a' one-rupee coins and 4 two-rupee coins is 1/3. Determine the probability of randomly choosing a two-rupee coin from a set consisting of (a + 4) one-rupee coins and 2a two-rupee coins.Solution
ATQ, aC2/(a+ 4)C2 = 1/3 Or, {a(a – 1)}/{(a + 4)(a + 3)} = 1/3 Or, 3a2 – 3a = a2 + 4a + 3a + 12 Or, 2a2 – 10a – 12 = 0 Or, 2a2 – 12a + 2a – 12 = 0 Or, 2a(a – 6) + 2(a – 6) = 0 Or, (a – 6)(2a + 2) = 0 Since, the number of coins cannot be negative, therefore a = 6 Number of one rupees coins = a + 4 = 10 Number of two rupees coins = 2a = 12 Total number of coins = 10 + 12 = 22 Required probability = 12/22 = 6/11
What does "fixed term employment" mean according to the Code on Social Security?
Under the Companies Act, 1956, what is the relationship between the Memorandum of Association and the Articles of Association?
Under the Indian Evidence Act, what is required when a place liable to search under a warrant is closed?
“The Commission may call for reports, returns and statements from the Central Government or corporations established by any Central Act.”
Thi...
Under the RTI Act, an appeal shall be disposed of within __________days of the receipt of the appeal or within such extended period not exceeding a tota...
A Vigilance Commissioner is convicted for an offence which, in the opinion of the Central Government, involves moral turpitude. What is the legal positi...
Under Section 107, abetment of suicide of which of the following persons can lead to punishment with death?
A notification under Section 3 of the DSPE Act specifies that certain offences under a Central Act shall be investigated by the Delhi Special Police Est...
Under Order 21 of the Code of Civil Procedure, 1908 (Execution), the court can issue a decree for:
If irrelevant evidence is so mixed up with relevant evidence as to make it impossible to separate one from the other then.
Relevant for Exams:
