Probability - 7

Dumb question - Q. How . P(A/B1) = ?

And - B1 Letter from AGRA
So, in AGRA there are 3 two letter consecutive word AG, Ga, RA

and A RA is legible

So, there is only one 'RA'

P(A / B1) =

Hard level

Q. 1 Aline of length L is divided (broken ) in to there parts randomly . Find the chance that these parts are the possible sides of

Ans- For to be sides of ,

x > o, y > o
L > X + y



Sum of two sides .> third side
x + y > L -(x + y)

(x + y) > .........................(1)

L - x > X

=> ...................(2)

L - y > y

..................(3)

n(s) x L x L =

(from eqn. L > x + y)

n(A) = Area of ABC



x x

= x

P( E )=

= =

Q. 2 A box contains 6 balls. It is equally likcly that ball is white or black . Two balls are drawn from this bag one is foond black and one is whit.

find the chance that there is 3 black ball in the box .

Ans . 1st ball can be white of black = 2 way

2nd ball can be white of black = 2 way

img ............Total no. of ways in which 6 balls can be white of black

= 2 X 2 X 2 X 2 X 2 X 2 = 26 ways

n(s) = 26

P(B o) = , P(B1) =

P(B 2) = , P(B 3)

P(B4) , P(B 5)

P(B 6) =

A Two balls drawn from bag & of diff. color

P(A / B0) = o [b/c in draw of 2 balls one black ball is there]

P(A / B1) =

P(A / B2) =

P(A / B3) =

P(A / B4) =

P(A / B 5) =

P(A / B6) = 0

P(A) = P(Bo) P(A / Bo) + P(B1) P(A / B1) + P(B2) P(A / B2) + P(B3) P(A / B3) + P(B4) P(A / B4) + P(B5) P(A / B5) + P(B6) P(A / B6)

= +

+

P(B3/ A) =

=

=

P(B3 / A) =








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