Question
A bag contains red, blue, and green balls in the ratio
of 2:4:5. If two balls are randomly selected from the bag, the probability that both are blue is 1/8 . Determine the total number of balls in the bag.Solution
Let the number of red, blue and green balls in the bag are 2x, 4x and 5x respectively. Total number of balls in the bag = 2x + 4x + 5x = 11x So according to question: 4xC2/11xC2 = 1/8 4x (4x – 1)/ 11x (11x – 1) = 1/8 (16x – 4)/ (121x – 11) = 1/8 128x – 32 = 121x – 11 7x = 21, x = 3 So the total number of balls in the bag = 33
The minimum value of 25 sin2 θ + 16 cos2 θ is
- If 2cosec 2 A – cot 2 A = 5 and 0 o < A < 90 o , then find the value of ‘A’.
- If sec 2P = sin² 60⁰ + sec 60⁰ - cos² 30⁰, then determine the value of (√3tan P + cot² P)
(tan 5x - tan 3x - tan 2x) = ?
If cot8A = tan(A+8˚), find the value of A? Given that 8A and A+8 are acute angles.
If (3cos A - sin A) = 2 cos (90° - A), then find the value of cot A.
Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevat...
If sec x + tan x = 11 then find secx?
