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A two digit number is formed with digits 2, 3, 5, 7, 9 without repetition. What is the probability that the number formed is an odd number? - Algebra

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प्रश्न

A two digit number is formed with digits 2, 3, 5, 7, 9 without repetition. What is the probability that the number formed is an odd number?

बेरीज

उत्तर

Sample Space (S) = {23, 25, 27, 29, 32, 35, 37, 39, 52, 53, 57, 59, 72, 73, 75, 79, 92, 93, 95, 97}

∴ n(S) = 20

Event A: the number is odd

∴ A =  {23, 25, 27, 29, 35, 37, 39, 53, 57, 59, 73, 75, 79, 93, 95, 97}

∴ n(A) = 16 

∴ `"P" ("A") = ("n"("A"))/("n"("S"))`

= `16/20`

= `4/5`

Hence, the probability that the number is odd is `4/5`

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पाठ 5: Probability - Practice Set 5.4 [पृष्ठ १२५]

संबंधित प्रश्‍न

Write the sample space for selecting a day randomly of the week.


A die is thrown. If A is the event that the number on upper face is less than 5, then write sample space and event A in set notation.


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


In a single throw of a dice, find the probability of getting a number less than or equal to 4.


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


A dice is thrown once. Find the probability of getting an even number or a multiple of 3.


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

One coin and one die are thrown simultaneously.


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).

Three coins are tossed simultaneously.
Condition for event A : To get at least two heads. 
Condition for event B : To get no head.
Condition for event C : To get head on the second 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 sum of the digits on the upper faces is 33.


There are 35 students in a class of whom 20 are boys and 15 are girls. From these students one is chosen at random. What is the probability that the chosen student is a boy.


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?


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


Write a sample space if two coins are tossed simultaneously


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


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


Form a ‘Road Safety Committee’ of two, from 2 boys (B1, B2) and 2 girls (G1, G2).

Complete the following activity to write the sample space :

  1. Committee of 2 boys = `{square}`
  2. Committee of 2 girls = `{square}`
  3. Committee of one boy and one girl = `{B_1G_1, B_1G_2, square, square}`
  4. ∴ Sample space (S) = `{(B_1 B_2),(B_1 G_1), square, square, (B_2 G_2),(G_1 G_2)}`

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