class 12

Math

Algebra

Probability I

If C and D are two events such that $C⊂DandP(D)=0$, then the correct statement among the following is :

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Two integers are chosen at random and multiplied. Find the probability that the product is an even integar.

A cube having all of its sides painted is cut by two horizontal, two vertical, and other two planes so as to form 27 cubes all having the same dimensions. Of these cubes, a cube is selected at random. The total number of cubes having at least one of its sides painted is

Five different digits from the set of numbers {1, 2, 3, 4, 5, 6, 7} are written in random order. Find the probability that five-digit number thus formed is divisible by 9.

Two numbers a, b are chosen from the set of integers 1, 2, 3, …, 39. Then probability that the equation 7a - 9b = 0 is satisfied is

In a n-sided regular polygon, the probability that the two diagonal chosen at random will intersect inside the polygon is

If a is an integer lying in [-5, 30], then the probability that the graph of $y=x_{2}+2(a+4)x−5a+64$ is strictly above the x-axis is

Balls are drawn one-by-one without replacement from a box containing 2 black, 4 white and 3 red balls till all the balls are drawn. Find the probability that the balls drawn are in the order 2 black, 4 white and 3 red.

A bag contains 50 tickets numbered 1, 2, 3, …, 50 of which five are drawn at random and arranged in ascending order of magnitude $(x_{1}<x_{2}<x_{3}<x_{4}<x_{5})$. Find the probability that $x_{3}=30$.