Question
Two dice are thrown together. What is the probability
that the sum of the numbers on the two faces is divisible by 4 or 6?Solution
Clearly, n(S) = 6 × 6 = 36 Let E be the event that the sum of the numbers on the two faces is divisible by 4 or 6. Then, E = {(1, 3), (1, 5), (2, 2), (2, 4), (2,6)(3,1)(3, 3), (3, 5), (4, 2), (4, 4), (5,1), (5, 3), (6, 2), (6,6)} ∴ n(E) = 14 Hence, P(E) = n(E)/n(S) = 14/36 = 7/18
In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the ...
Statement: F ≥ G > I > E ≤ P, E = S ≥ PÂ
Conclusion: I. F ≥ P         II. G > P
Statements: L ≥ O = J ≥ I ≤ V; C = T ≤ J
Conclusion: I. C < L II. C = L
Statements: U ≤ T < V; W < V; S = T < R; X < W = Y < Z
Conclusions:
I. R > U
II. X < S
III. T < Z
Statements: S > T > W = U ≤ V ≤ I, X > Y = S
Conclusions:
I. W > Y
II. I ≥ T
III. U < Y
Statements : Z < S < W < D; E ≤ C ≤ Y < D; U < T < S ≤ V
Conclusions :
I. V > Z
II. C < U
III. V > E
Statement: M>T≤Z; T>Q ; X ≥R>Q
I. X ≥ M
II. Q < M
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 ...
Statement: A ≥ B ≥ C = D > E, F > G = H ≤ CÂ
Conclusion: I. C ≥ F                         II. F > E
...Statements: U > G = L > V < K ≤ C > S < N
Conclusion I: U ≥ V
II: C > V
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