Question
A bag contains 32 balls of two different colours violet and
green in the ratio of 5:3 respectively. Two balls are randomly drawn without replacement from the bag. Find the probability that both the balls are of the same colour.Solution
The number of violet colour balls = 32 × (5/8) = 20
The number of green colour balls = 32 − 20 = 12
So, the probability that both the balls are violet = {20C2 / 32C2}
So, the probability that both the balls are green = {12C2 / 32C2}
So, required probability = {20C2 / 32C2} + {12C2 / 32C2} = (217/496)
Statement: F ≥ G > I > E ≤ P, E = S ≥ PÂ
Conclusion: I. F ≥ P         II. G > P
Statement: Y < Z > I < Q > S = M ≤ N
Conclusions:
I. S= N
II. Q > M
Statements: P = Q = R > S > T > Z; U > R < V < W > X
Conclusions:
I. W > Z
II. R < W
III. R < X
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and ...
Statements: E < F > G; H < I ≤ F; E > D
Conclusions:
I. F > D
II. H < E
III. G < DWhich of the following will be definitely false if the given expression F > G ≥ H > I ≥ J > K = M ≤ N > L ≤ O is definitely true?
Statements: Â M @ N, P @ R, P & N
Conclusions:Â Â Â Â Â a ) M @ PÂ Â Â Â Â Â Â Â Â Â Â Â Â b) R & M
...Statement: F < G; H ≥ I; H ≥ K; I > G ≥ J
Conclusion:
I. G > K
II. K > J
Statements: S = R, T ≤ U, O < J, T ≤ J, U > R
Conclusion:
I. R ≥ T
II. R < T
Statement: D < F; D ≥ E > G; I ≥ H > F
Conclusion:
I. G ≥ F
II. H ≥ D
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