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

The Arrow is Rotated and It Stops Randomly on the Disc. Find Out on Which Colour It May Stop. - Algebra

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प्रश्न

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

उत्तर

Sample Space (S) = {Red, Purple, Orange, Yellow, Blue, Green}
∴ n(S) = 6
Hence, the number of colours on which the arrow may stop is 6.

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पाठ 5: Probability - Practice Set 5.2 [पृष्ठ ११८]

संबंधित प्रश्‍न

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).


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 red ball.


In a single throw of a dice, find the probability of getting a number greater than 4.


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


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.


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.


If two coins are tossed, find the probability of the following event.
Getting no head ?


If two dice are rolled simultaneously, find the probability of the following event.
The digit on the first die is greater than the digit on second die.


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.


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.


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?


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


A die is thrown. Write the sample space. If P is the event of getting an odd number, then write the event P using set notation.


Two dice are thrown, find the probability of getting
(1) The sum of numbers on their upper faces is at least 10.
(2) The sum of the numbers on their upper faces is divisible by 5.
(3) The number on the upper face of the first die is greater than the number on the upper face of the second die.


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}`


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