A bag contains a white and b black balls. Two players A and B alternately draw a ball from the bag -Maths 9th

A bag contains a white and b black balls. Two players A and B alternately draw a ball from the bag -Maths 9th
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Answer :

(c) 2 : 1Let W denote the event of drawing a white ball at any draw and B that of drawing a black ball. Then, P (W) = \(rac{a}{a+b},\) P(B) = \(rac{b}{a+b}\)∴ P (A wins the game) = P (W or BBW or BBBBW or ......) = P (W) + P (B) . P (B) . P (W) + P (B) . P (B) . P (B) . P (B) . P (W) + ..... = P (W) (1 + (P (B))2 + (P (B))4 + .....)= \(rac{P(W)}{1-(P(B))^2}\) = \(rac{rac{a}{a+b}}{1-rac{b^2}{(a+b)^2}}\) = \(rac{a(a+b)}{a^2+2ab}\) = \(rac{a+b}{a+2b}\)∴ P (B wins the game) = 1 – P (A wins the game)= \(1-rac{(a+b)}{(a+2b)}\) = \(rac{b}{a+2b}\)According to the given condition,\(rac{a+b}{a+2b}\) = 3. \(rac{b}{a+2b}\) ⇒ a = 2b ⇒ a : b = 2 : 1.
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A spherical ball is divided into two equal halves. If the curved surface area of each half is 56.57 cm?, find the volume of the spherical ball.11531/cylinder-radius-halved-and-height-doubled-then-find-volume-with-respect-original-volume -Maths 9th

Description : A spherical ball is divided into two equal halves. If the curved surface area of each half is 56.57 cm?, find the volume of the spherical ball.11531/cylinder-radius-halved-and-height-doubled-then-find-volume-with-respect-original-volume -Maths 9th

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Last Answer : Solution :-

The work done by a body on application of a constant force is the product of the constant force and distance travelled by the body in the direction of force. Express this in the form of a linear equation in two variables and draw its graph by taking the constant force as 3 units. -Maths 9th

Description : The work done by a body on application of a constant force is the product of the constant force and distance travelled by the body in the direction of force. Express this in the form of a linear equation in two variables and draw its graph by taking the constant force as 3 units. -Maths 9th

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Draw a graph of the equation x + Y = 5 & 3x - 2y =0 on the same graph paper. Find the coordinates of the point whose two lines intersect. -Maths 9th

Description : Draw a graph of the equation x + Y = 5 & 3x - 2y =0 on the same graph paper. Find the coordinates of the point whose two lines intersect. -Maths 9th

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