HSC Commerce (English Medium) इयत्ता ११ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Four cards are drawn from a pack of 52 cards. Find the probability that all cards are club and one of them a jack.

A bag contains 15 balls of three different colours: Green, Black and Yellow. A ball is drawn at random from the bag. The probability of green ball is `1/3`. The probability of yellow ball is `1/5`. What is the probability of blackball?

A bag contains 15 balls of three different colours: Green, Black and Yellow. A ball is drawn at random from the bag. The probability of green ball is `1/3`. The probability of yellow ball is `1/5`. How many balls are green, black, and yellow?

A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. What is the probability that, number on ticket is divisible by 6?

A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. What is the probability that, number on ticket is a perfect square?

A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. What is the probability that, number on ticket is prime?

A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. What is the probability that, number on ticket is divisible by 3 and 5?

From a group of 8 boys and 5 girls, a committee of five is to be formed. Find the probability that the committee contains 3 boys and 2 girls.

From a group of 8 boys and 5 girls, a committee of five is to be formed. Find the probability that the committee contains at least 3 boys.

A room has three sockets for lamps. From a collection of 10 light bulbs of which 6 are defective, a person selects 3 bulbs at random and puts them in socket. What is the probability that the room is lit?

The letters of the word LOGARITHM are arranged at random. Find the probability that vowels are always together.

The letters of the word LOGARITHM are arranged at random. Find the probability that vowels are never together.

The letters of the word LOGARITHM are arranged at random. Find the probability that Exactly 4 letters between G and H.

The letters of the word LOGARITHM are arranged at random. Find the probability that Begins with O and ends with T.

The letters of the word LOGARITHM are arranged at random. Find the probability that start with vowel and end with ends with consonant.

The letters of the word SAVITA are arranged at random. Find the probability that vowels are always together.

Solve the inequation:
`("x" - 2)/("x" + 5) > 0`

Solve the following inequation graphically in the two-dimensional plane.
x ≤ – 4

Solve the following inequation graphically in the two-dimensional plane.
y ≥ 3

Solve the following inequations graphically in two-dimensional plane.
y ≤ – 2x