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A Two Digit Number is to Be Formed from the Digits 0,1,2,3,4, Without Repetition of the Digits. Find the Probability that the Number So Formed is a Prime Number - Algebra

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प्रश्न

A two digit number is to be formed from the digits 0,1,2,3,4,
without repetition of the digits. Find the probability that the number so
formed is a prime number

उत्तर

The sample space,
S = {10,12,13,14,20,21,23,24,30,31,32,34,40,41,42,43}
∴ n(S) = 16
Let A be the event that the number is a prime.
∴ A = {13,23,31,41,43}
∴ n(A) = 5
∴ `P(A) = (n(A))/(n(S)) = 5/16`

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2018-2019 (March) Balbharati Model Question Paper Set 2

संबंधित प्रश्न

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


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’.


There are 15 tickets bearing the numbers from 1 to 15 in a bag and one ticket is drawn from this bag at random. Write the sample space (S) and n(S).


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


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).

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


The arrow is rotated and it stops randomly on the disc. Find out on which colour it may stop.


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).
One die is rolled,
Event  A : Even number on the upper face. 
Event  B : Odd number on the upper face.
Event  C : Prime number on the upper face.


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 digit numbers are formed using digits 0, 1, 2, 3, 4, 5 without repetition of the digits.
Condition for event A : The number formed is even
Condition for event B : The number formed is divisible by 3.
Condition for event C : The number formed is greater than 50.


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.


There are 15 tickets in a box, each bearing one of the numbers from 1 to 15. One ticket is drawn at random from the box. Find the probability of event that the ticket drawn - shows an even number.


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


Do the following activity -

Activity II : Decide the sample space yourself and fill in the following boxes.


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


Two coins are tossed simultaneously. The probability of getting at the most one head is ______.


Two coins are tossed simultaneously. Complete the following activity to write the sample space and the given events A and B in the set form:

Event A: To get at least one head.

Event B: To get no head.

Activity:

Two coins are tossed simultaneously.

∴ Sample space is

S = `{square, HT, TH, square}`

Event A: To get at least one head.

∴ A = `{square, HT, TH}`

Event B: To get no head.

∴ B = `{square}`


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