HSC Science (Electronics) 11th Standard - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Two fair dice are thrown. State the sample space and write favorable outcomes for the following event:

D: Even number on the first die.

Two fair dice are thrown. State the sample space and write favorable outcomes for the following events:

Check whether events A and B are mutually exclusive and exhaustive.

A: Sum of numbers on two dice is divisible by 3 or 4.

B: Sum of numbers on two dice is 7.

Two fair dice are thrown. State the sample space and write favorable outcomes for the following events:

Check whether events C and D are mutually exclusive and exhaustive

C: Odd number on the first die.

D: Even number on the first die.

A bag contains four cards marked as 5, 6, 7, and 8. Find the sample space if two cards are drawn at random with replacement.

A bag contains four cards marked as 5, 6, 7, and 8. Find the sample space if two cards are drawn at random without replacement.

From a bag containing 10 red, 4 blue and 6 black balls, a ball is drawn at random. Find the probability of drawing a red ball.

From a bag containing 10 red, 4 blue and 6 black balls, a ball is drawn at random. Find the probability of drawing a blue or black ball

From a bag containing 10 red, 4 blue and 6 black balls, a ball is drawn at random. Find the probability of drawing not a black ball.

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

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

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

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

What is the chance that a leap year, selected at random, will contain 53 Sundays?

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

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

Select the correct option from the given alternatives :

In a jar there are 5 black marbles and 3 green marbles. Two marbles are picked randomly one after the other without replacement. What is the possibility that both the marbles are black?

Select the correct option from the given alternatives :

In a set of 30 shirts, 17 are white and rest are black. 4 white and 5 black shirts are tagged as ‘PARTY WEAR’. If a shirt is chosen at random from this set, the possibility of choosing a black shirt or a ‘PARTY WEAR’ shirt is

Solve the following:

The letters of the word 'EQUATION' are arranged in a row. Find the probability that All the vowels are together

Solve the following:

The letters of the word 'EQUATION' are arranged in a row. Find the probability that Arrangement starts with a vowel and ends with a consonant

Solve the following:

Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it is known that the number on the drawn card is more than 3, what is the probability that it is and even number?