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Complete the following table. Random experiment - One coin is tossed, Two coins are tossed, Three coins are tossed. - Algebra

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प्रश्न

Complete the following table.

Sr. No. Random experiment Sample space Number of sample points in S
1. One coin is tossed. S = {H, T} n(S) = `square` 
2. Two coins are tossed. S = `square` n(S) = `square`
3. Three coins are tossed. S = {`square`, THH, HTT, THT, TTH, TTT} n (S) = 8
4. A die is thrown. S = `square` n(S) = `square`
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उत्तर

Sr. No. Random experiment Sample space Number of sample points in S
1. One coin is tossed. S = {H, T} n(S) = 2 
2. Two coins are tossed. S = {HH, HT, TH, TT} n(S) = 4
3. Three coins are tossed. S = {HHH, HHT, HTH THH, HTT, THT, TTH, TTT} n (S) = 8
4. A die is thrown. S = 1, 2, 3, 4, 5, 6 n(S) = 6
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2021-2022 (March) Model set 3 by shaalaa.com

संबंधित प्रश्‍न

Why is tossing a coin considered to be a fair way of deciding which team should get the ball at the beginning of a football game?


A piggy bank contains hundred 50 p coins, fifty Rs 1 coins, twenty Rs 2 coins and ten Rs 5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin will be a 50 p coin?


A die is thrown. Find the probability of getting:

an even prime number


In a simultaneous throw of a pair of dice, find the probability of getting an even number on one and a multiple of 3 on the other


A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is either a black card or a king


A card is drawn at random from a pack of 52 cards. Find the probability that card drawn is jack 


A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is White


A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability of obtaining a total more than 9?


A bag contains tickets numbered 11, 12, 13,..., 30. A ticket is taken out from the bag at random. Find the probability that the number on the drawn ticket is a multiple of 7


 Write the probability of an event which is impossible.


For an event E, write a relation representing the range of values of P(E).


A letter is chosen at random from the letters of the word ASSOCIATION. Find the probability that the chosen letter is a vowel.


Namita tossed a coin once. What is the probability of getting tail?


Two fair dice are rolled simultaneously. The probability that 5 will come up at least once is ______.


Someone is asked to take a number from 1 to 100. The probability that it is a prime is ______.


A bag contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. What is the probability that it is white?


Following experiment have equally likely outcomes? Explain.

A baby is born. It is a boy or a girl.


The table given below shows the months of birth of 36 students of a class:

Month
of birth
Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec.
No. of
students
4 3 5 0 1 6 1 3 4 3 4 2

A student is choosen at random. Fill in the boxes.

Total number of students = `square`

Let E be the event that the selected student is born in June.

Then, 

Number of times event E occurs = `square`

So, P (selected student is born in June)

P(E) = `"Number of students born in June"/square`

= `square/square`

= `square`


Read the following passage:

"Eight Ball" is a game played on a pool table with 15 balls numbered 1 to 15 and a "cue ball" that is solid and white. Of the 15 numbered balls, eight are solid (non-white) coloured and numbered 1 to 8 and seven are striped balls numbered 9 to 15.


The 15 numbered pool balls (no cue ball) are placed in a large bowl and mixed, then one ball is drawn out at random.

Based on the above information, answer the following questions:

  1. What is the probability that the drawn ball bears number 8?
  2. What is the probability that the drawn ball bears an even number?
    OR
    What is the probability that the drawn ball bears a number, which is a multiple of 3?
  3. What is the probability that the drawn ball is a solid coloured and bears an even number?

Assertion (A): The probability that a leap year has 53 Sundays is `2/7`.

Reason (R): The probability that a non-leap year has 53 Sundays is `1/2`.


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