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

In the adjoining figure, the arrow rests on any number, after the rotation of the disc. The probability that it will rest on any of the numbers on the disc is equal. - Algebra

Advertisements
Advertisements

प्रश्न

In the adjoining figure, the arrow rests on any number, after the rotation of the disc. The probability that it will rest on any of the numbers on the disc is equal. Let A be any random event. To find the probability of A, fill in the boxes.


(1) S = `square`

(2) n(S) = `square`

(3) Let A be the event that arrow points at the number which is perfect cube.

A = `square` 

 ∴ n(A) = `square`

(4) ∴ P(A) = `(n(A))/(n(S)) = square/square = square`

बेरीज

उत्तर

(1) S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

(2) n(S) = 12

(3) A = {1, 8} 

∴ n(A) = 2

(4) ∴ P(A) = `(n(A))/(n(S)) = bb2/bb12 = bb(1/6)`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2024-2025 (March) Model set 4 by shaalaa.com

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

Choose the correct alternative answer for the following question and write the alphabet.

Which of the following number cannot represent a probability?


If n(A) = 5 , P(A) = `1/2` then n(S) = ?


Which of the following options shows the highest probability?


A card is drawn from a well shuffled pack of 52 playing cards. Find the probability of the event, the card drawn is a red card.

Activity: Let ‘S’ be the sample space.

∴ n(S) = 52

Event A: Card drawn is a red card.

∴ Total red cards = `square` hearts + 13 diamonds

∴ n(A) = `square`

∴ P(A) = `square/(n("S"))`    ......[Formula]

P(A) = `26/52`

P(A) = `square`


In Adarsh High School, out of 30 students in a class 3 students wear glasses (spectacles). If a student in the class is randomly selected, find the probability that he or she wears glasses (spectacles) by completing the following activity

Activity: There are a total of 30 students in the class.

∴ n(S) = `square`

Event: A selected student wears glasses (spectacles).

∴ n(A) = `square`

P(A) = `square/("n"("S"))`     ......[Formula]

P(A) = `square`


If three coins are tossed simultaneously, find the probability of the following events

Event A: To get no head.


A box contains 36 cards, bearing only one number from 1 to 36 on each. If one card is drawn at random, find the probability of an event that the card drawn bears, a complete square number 


A bag contains 8 red and some blue balls. One ball is drawn at random from the bag. If ratio of probability of getting red ball and blue ball is 2:5, then find the number of blue balls.


Using the digits 0, 2, 3, 5 the two-digit numbers are constructed without repetition of digits. Find the probability of the following events:

Condition for event A: The number formed is even.


Using the digits 0, 2, 3, 5 the two-digit numbers are constructed without repetition of digits. Find the probability of the following events:

Condition for event B: The number formed is prime number.


An urn contains 12 red balls, 15 yellow balls and 18 blue balls. A ball is choosen at random, then to find the probability of choosing a blue and red coloured balls, fill in the boxes.

Total number of balls = 12 + `square` + `square` = `square`

(1) Let E be the event that the choosen ball is blue.

Number of blue balls = `square`

Thus, 

P(E) = `"Number of blue balls"/"Total number of balls"`

= `square/square`

(2) Let F be the event that the choosen ball is red.

Number of red balls = `square`

Thus,

P(F) = `square/"Total number of balls"`

= `square/square`


The probability that a relation R from {x, y} to {x, y} is both symmetric and transitive, is equal to ______.


A coin is tossed twice and the four possible outcomes are assumed to be equally likely. If A is the event, 'both head and tail have appeared' and B the event,' at most one tail is observed,' then the value of P(B/A) is ______.


Let A and B be two events such that the probability that exactly one of them occurs is `2/5` and the probability that A or B occurs is `1/2`, then the probability of both of them occur together is ______.


From a group of 10 men and 5 women, four member committees are to be formed each of which must contain at least one woman. Then the probability for these committees to have more women than men is ______.


A card is drawn from well shuffled pack of 52 playing cards. Find the probability that the card drawn is a face card.


One coin and a die are thrown simultaneously. Find the probability of the following event:

Event B: To get a tail and an odd number.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×