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

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. - Algebra

Advertisements
Advertisements

प्रश्न

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.

बेरीज

उत्तर

Sample Space (S) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

∴ n(S) = 15

Event A: the ticket shows an even number

A = {2, 4, 6, 8, 10, 12, 14}

∴ n(A) = 7 

∴ `P (A) = (n(A))/(n(S))`

= `7/15`

Hence, the probability that the ticket shows an even number is `7/15`.

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 3.1 | पृष्ठ १२५

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 die is thrown. Write the sample space (S) and number of sample points n(S) and also write event A of getting even number on the upper surface and write n(A).


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


In a single throw of a dice, find the probability of getting a number not greater than 4.


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


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 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.


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.


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.


In the following experiment write the sample space S, Number of sample points n(S), write the event P in set form and find n(P): 

Form two-digit numbers using the digit 0, 1, 2, 3, 4, without repeating the digits, P is the event, that the number so formed is even.


There are 9 tickets in a box, each bearing one of the numbers from 1 to 9. 
One ticket is drawn at random from the box.  
Event A: Ticket shows an even number. 
Complete the following activity from the given information: 

Activity:

S = {__________}

n(S) = ____________

A = {________}

n(A) = ___________


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


Write a sample space when a die is thrown


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×