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

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 ? - Algebra

Advertisements
Advertisements

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 a multiple of 5 ?

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 B: the number is a multiple of 5
B = {25, 35, 75, 95}
∴ n(B) = 4 

`therefore P (B) = (n(B))/(n(S))`

` = 4/20`

`=1/5`

​Hence, the probability that the number is a multiple of 5 is `=1/5`.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Probability - Practice Set 5.4 [पृष्ठ १२५]

APPEARS IN

बालभारती Algebra (Mathematics 1) [English] 10 Standard SSC Maharashtra State Board
पाठ 5 Probability
Practice Set 5.4 | Q 4.2 | पृष्ठ १२५

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 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.


A dice is thrown once. Find the probability of getting an even number.


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

One coin and one die are thrown simultaneously.


In the month of March 2019, Find the days on which the date is a multiple of 5. (see the given page of the calender)


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 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.


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 a number which is a multiple of 5.


Do the following activity -

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


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`}


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.


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


Write a sample space when a die is thrown


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


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)}`

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}`


Assertion (A): A die is thrown once and the probability of getting an even number is `2/3`.

Reason (R): The sample space for even numbers on a die is {2, 4, 6}.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×