Let [x] denote the greatest integer function. What is the number of solutions of the equation x² – 4x + [x] = 0 in the interval [0, 2]?

Consider the following in respect of two events A and B : 1.P(A occurs but…

One bag contains 3 white and 2 black balls, another bag contains 5 white and…

A box has ten chits numbered 0, 1, 2, 3, …, 9. First, one chit…

If A and B are two events such that 2P(A) = 3P(B), where 0 <…

Two fair dice are rolled. What is the probability of getting a sum of 7…