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When a dice is thrown, the number of sample points in the sample space are - Algebra

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Question

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

Options

  • 4

  • 6

  • 2

  • 52

MCQ
Fill in the Blanks

Solution

6

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Chapter 5: Probability - Q.1 (A)

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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).


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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.


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

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Condition for event C : To get head on the second coin.


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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).

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Condition for event A : There must be at least one woman member.
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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.


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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) = ___________


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}`.


If one coin is tossed, write the sample space ‘S’.


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}.


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