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

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 Simultaneous - Algebra

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प्रश्न

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.

उत्तर

 S = {H1, H2, H3, H4, H5, H6 T1, T2, T3, T4, T5, T6}
∴ n(S) = 12
 A = {H1, H3, H5}
∴ n(A) = 3
 B = {H2, H4, H6, T2, T4, T6}
∴ n(B) = 6
 C = {}
∴ n(C) = 0

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पाठ 5: Probability - Practice Set 5.3 [पृष्ठ १२२]

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बालभारती Algebra (Mathematics 1) [English] 10 Standard SSC Maharashtra State Board
पाठ 5 Probability
Practice Set 5.3 | Q 1. (6) | पृष्ठ १२२

संबंधित प्रश्‍न

A die is thrown. If A is the event that the number on upper face is less than 5, then write sample space and event A in set notation.


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 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 White ball.


In a single throw of a dice, find the probability of getting a number less than or equal to 4.


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


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


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 = {..., ..., ..., ..., ..., ...}

If two dice are rolled simultaneously, find the probability of the following event. The sum of the digits on the upper faces is 33.


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.


Do the following activity -
Activity I : Total number of students in your class, n(S) =

Number of students from your class, wearing spectacles, n(A) =

Probability of a randomly selected student wearing spectacles, P(A) =

Probability of a randomly selected student not wearing spectacles, P(B) =


Do the following activity -

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


Write the sample space if two coins are tossed.


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 coins are tossed simultaneously. Write the sample space (S) and expected sample points in the given events by completing the activity.

  1. Event A: to get at least one head.
  2. Event B: to get no head.

Activity: Let ‘S’ be the sample space, when two coins are tossed simultaneously.

∴ S = `{square, HT, TH, square}`

i. Event A: to get at least one head.

∴ A = `{HH, square, TH}`

ii. Event B: to get no head.

∴ B = `{square}`.


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


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