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

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Mathematics and Statistics
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A coin and a die are tossed simultaneously. Enumerate the sample space and the following event.

B: Getting a prime number

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A coin and a die are tossed simultaneously. Enumerate the sample space and the following event.

C: Getting a head and a perfect square.

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Find n(S) of the following random experiment.

From an urn containing 5 gold and 3 silver coins, 3 coins are drawn at random

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Find n(S) of the following random experiment.

5 letters are to be placed into 5 envelopes such that no envelope is empty.

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Find n(S) of the following random experiment.

6 books of different subjects arranged on a shelf.

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Find n(S) of the following random experiment.

3 tickets are drawn from a box containing 20 lottery tickets.

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

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

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

B: Sum of numbers on two dice is 7

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

C: Odd number on the first die.

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

D: Even number on the first die.

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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.

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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.

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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.

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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.

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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.

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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

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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.

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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

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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

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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

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