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If Two Coins Are Tossed, Find the Probability of the Following Event.Getting No Head ? - Algebra

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प्रश्न

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

उत्तर

Sample Space (S) = {HH, HT, TT, TH}
∴ n(S) = 4 

Event B: Getting no head
B = {TT}
∴ n(B) = 1 

`therefore P(B) =(n(B))/(n(S))`

`= 1/4`

​Hence, the probability of getting no head is `1/4.`

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अध्याय 5: Probability - Practice Set 5.4 [पृष्ठ १२५]

APPEARS IN

बालभारती Algebra (Mathematics 1) [English] 10 Standard SSC Maharashtra State Board
अध्याय 5 Probability
Practice Set 5.4 | Q 1.2 | पृष्ठ १२५

संबंधित प्रश्न

Write the sample space for selecting a day randomly of the week.


‘A coin is tossed’. Write the sample space ‘S’.


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.


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  

 not a black 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 5.


In a single throw of a dice, find the probability of getting a number less than 8.


In the month of March 2019, Find the days on which the date is a multiple of 5. (see the given page of the calender)


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).

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.


A two digit number is formed with digits 2, 3, 5, 7, 9 without repetition. What is the probability that the number formed is an odd number?


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.


Write a sample space if two coins are tossed simultaneously


Write a sample space when a die is thrown


A two-digit number is formed with digits 2, 3, 5 without repetition. Write the sample space


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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