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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

A two digit number is formed with digits 2, 3, 5 without repetition. Write the sample space - Algebra

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प्रश्न

A two-digit number is formed with digits 2, 3, 5 without repetition. Write the sample space

बेरीज

उत्तर

S = {23, 25, 32, 35, 52, 53}

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Probability - Q.1 (B)

संबंधित प्रश्‍न

A card is drawn from the pack of 25 cards labeled with numbers 1 to 25. Write the sample space for this random experiment.


‘A coin is tossed’. Write the sample space ‘S’.


A die is thrown, find the probability of the event of getting a number less than 3.


A bag contains 3 white, 5 black and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it, find the probability that the ball drawn 

a black ball.


In a single throw of a dice, find the probability of getting a number less than 8.


A dice is thrown once. Find the probability of getting a number between 3 and 8.


For the following experiment write sample space ‘S’ and number of sample points n(S).

Two-digit numbers are formed using digits 2, 3 and 5 without repeating a digit.


Form a ‘Road safety commitee’ of two, from 2 boys (B1, B2) and 2 girls(G1, G2). Complete the following activity to write the sample space.
(a) Committee of 2 boys =

b) Committee of 2 girls =

(c) Committee of one boy and one girl =

 ∴  Sample space = {..., ..., ..., ..., ..., ...}

Write sample space ‘S’ and number of sample point n(S) for the following experiment. Also write events A, B, C in the set form and write n(A), n(B), n(C).

Two dice are rolled simultaneously,
Event  A : The sum of the digits on upper faces is a multiple of 6. 
Event B : The sum of the digits on the upper faces is minimum 10.
Event  C : The same digit on both the upper faces.


Write sample space ‘S’ and number of sample point n(S) for the following experiment. Also write events A, B, C in the set form and write n(A), n(B), n(C).

From three men and two women, environment committee of two persons is to be formed.
Condition for event A : There must be at least one woman member.
Condition for event B : One man, one woman committee to be formed.
Condition for event C : There should not be a woman member.


Write sample space ‘S’ and number of sample point n(S) for the following experiment. Also write events A, B, C in the set form and write n(A), n(B), n(C).

One coin and one die are thrown simultaneously.
Condition for event A : To get head and an odd number.
Condition for event B : To get a head or tail and an even number. 
Condition for event C : Number on the upper face is greater than 7 and tail on the coin.


If two dice are rolled simultaneously, find the probability of the following event.
The sum of the digits on the upper faces is at least 10.


If two dice are rolled simultaneously, find the probability of the following event.
The digit on the first die is greater than the digit on second die.


Two coins are tossed simultaneously. Complete the following activity of writing of the sample space (S) and expected outcomes of the events :
1) Event A : to get at least one head.
2) Event B : to get no head.
Activity : If two coins are tossed simultaneously
∴ s =  {`square , "HT","TH", square`}
1) Event A : at least getting one head.
∴ A = {`"HH" , square , "TH"`}
2) Event B : to get no head.
∴ B = {`square`}


250 lottery tickets were sold and there are 5 prizes on these tickets. If Kunal has purchased one lottery ticket, what is the probability that he wins a prize?


Two coins are tossed simultaneously. Write the sample space ‘S’.


When two dice are thrown, the number of sample points in the sample space are ______


Two coins are tossed simultaneously. Write the sample space (S) and expected sample points in the given events by completing the activity.

  1. Event A: to get at least one head.
  2. Event B: to get no head.

Activity: Let ‘S’ be the sample space, when two coins are tossed simultaneously.

∴ S = `{square, HT, TH, square}`

i. Event A: to get at least one head.

∴ A = `{HH, square, TH}`

ii. Event B: to get no head.

∴ B = `{square}`.


If one coin is tossed, write the sample space ‘S’.


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