Question
Three persons i.e. ‘P’, ‘Q’ and ‘R’, are
given the same puzzle to solve. The probability that ‘P’, ‘Q’ and ‘R’ will solve the puzzle is (2/5), (3/4) and (5/6), respectively. Find the probability that exactly one of them will not solve the puzzle.Solution
Probability of ‘P’ solving the puzzle = 2/5
Therefore, probability of ‘P’ not solving the puzzle = 1 – (2/5) = 3/5
Probability of ‘Q’ solving the puzzle = 3/4
Therefore, probability of ‘Q’ not solving the puzzle = 1 – (3/4) = 1/4
Probability of ‘R’ solving the puzzle = 5/6
Therefore, probability of ‘R’ not solving the puzzle = 1 – (5/6) = 1/6
Therefore, required probability = {(3/5) × (3/4) × (5/6)} + {(2/5) × (1/4) × (5/6)} + {(2/5) × (3/4) × (1/6)}
= (45/120) + (10/120) + (6/120) = 61/120
the following question the relationship between different elements is given in the statements followed by two conclusions given below. Decide which of...
Statements: D = P > Q = X ≤ Y = M; J = X; K > Q
Conclusion: I. M > K II. M ≤ K
Statements:
A $ B % D % C
Conclusions:
I. B © C
II. A * D
III. C % A
Statements: A = C > G > H = B > O; E < P = R > B
Conclusions:
I). E > H
II). H ≤ E
...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 th...
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 th...
Statements: M ≥ G > K = Y; A ≥ Z ≥ E > M = I
Conclusions:
I. A ≥ I
II. K < E
III. I > G
Statements: R ≥ S = T; R < U < V; W > X > V
Conclusion:
I. U > T
II. T < V
Statements: R > N > Z < O = I ≥ T < W < S ≤ L
Conclusion
I: L > Z
II: O > T
Statement: E < N < Q = W = F ≥ U > A
Conclusion:
I. Q > A
II. E > F
