Question

A bag contains in all 50 balls. Some of them are white, some are blue and some are red. The number of white balls is 11 times the number of blue balls. The number of red balls is less than the number of white balls. Also, the number of red balls is more than the number of blue balls. If one of the balls is selected at random from the bag, what is the probability that it is red ?

Answer 1

Let the number of blue balls be B, of red balls R and of white balls W.
As per given information, B < R < W.  

Colour of ball →	B	R	W
No. of balls ↓	1	38	11	Not as per information.
	2	26	22	Not as per information.
	3	14	33	Possible as per information.
	4	2	44	Not as per information.

there
are 3 blue, 14 red and 33 white balls in the bag.
Let the event that the ball is red be A.
n(A) = 14 and n(S) = 50 

probability of a ball drawn is red=`(n(A))/(n(s))` 

                                                   =`14/50` 

                                                  =`7/25`