There are two bags. Bag-1 contains 4 white and 6 black balls and Bag-2 contains 5 white and 5 black balls.
A die is rolled, if it shows a number divisible by 3, a ball is drawn from Bag-1, else a ball is drawn from
Bag-2. If the ball drawn is not black in colour, the probability that it was not drawn from Bag-2 is:

Which among the following is NOT a corner point of the LPP, maximize Z = 4x + y subject to the constraints $$x + y \le 50, 3x + y \le 90, x \ge 0, y \ge 0 ?$$​​

Which among the following is NOT a corner point of the LPP, maximize Z = 4x + y subject to the constraints $$x + y \le 50, 3x + y \le 90, x \ge 0, y \ge 0 ?$$​​