Question

*एक फासा फेकला असता वरच्या पृष्ठभागावर पूर्ण वर्ग संख्या मिळण्याची संभाव्यता किती?*

1️⃣ 2/3
2️⃣ 3/2
3️⃣ 1/3
4️⃣ 6/2​

Answer 1

What is the probability of getting a complete square number on the upper surface when a dice is thrown?

$\textbf{Given:}$

$\textsf{A single die is thrown}$

$\textbf{To find:}$

$\textsf{The probability of getting a complete squarre number}$

$\textbf{Solution:}$

$\textsf{When a die is thrown,}$

$\mathsf{Sample\;space,\;S=\{1,2,3,4,5,6\}}$

$\mathsf{n(S)=6}$

$\textsf{Let A be the event of getting complete square number}$

$\mathsf{A=\{1,4\}}$

$\mathsf{Now,}$

$\mathsf{P(A)=\dfrac{n(A)}{n(S)}}$

$\mathsf{P(A)=\dfrac{2}{6}}$

$\implies\boxed{\mathsf{P(A)=\dfrac{1}{3}}}$

$\textbf{Answer:}$

$\mathsf{Option\;(3)\;is\;correct}$

$\textbf{Find more:}$

If o is the centre of larger circle what is the probability that a point chosen at random within the circumference of the larger circle,lies outside the smaller circle ?a. 0.33

b. 0.5

c. 0.67

d.0.75

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In a single throw of two dice,the probability of getting doublet i.e. getting the same number on both dice is(a) 1/2

(b) 1/6

(c) 1/4

(d) 1/12​

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Answer 2

Given : एक फासा फेकला असता

A dice is thrown

To Find :  असता वरच्या पृष्ठभागावर पूर्ण वर्ग संख्या मिळण्याची संभाव्यता

probability of getting a perfect square number on the upper surface

1️⃣ 2/3

2️⃣ 3/2

3️⃣ 1/3

4️⃣ 6/2

Solution:

फासा / Dice = { 1 , 2 , 3 , 4 , 5 , 6 }

n(S) = 6

E = असता वरच्या पृष्ठभागावर पूर्ण वर्ग संख्या

E = perfect square number on the upper surface

पूर्ण वर्ग संख्या   = Complete Square  E  = { 1 , 4 }

n(E) = 2

असता वरच्या पृष्ठभागावर पूर्ण वर्ग संख्या मिळण्याची संभाव्यता   = n(E)/n(S)

= 2/6

= 1/3

probability of getting a perfect square number on the upper surface   = n(E)/n(S)

= 2/6

= 1/3

असता वरच्या पृष्ठभागावर पूर्ण वर्ग संख्या मिळण्याची संभाव्यता = 1/3

probability of getting a perfect square number on the upper surface  = 1/3

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