Question
A bag contains 4 yellow, 5 black and 7 white flowers.
Three flowers are drawn randomly. Quantity I: What is the probability that all three flowers are of white colour? Quantity II: What is the probability that all three flowers are of different colour? In each of the following questions, read the given statements and compare the two given quantities on it basis. Give answer:Solution
Quantity I: n(s) = ¹⁶C₃ = (16 × 15 × 14)/(3 × 2 × 1) = 560 n(E) = ⁷C₃ = (7 × 6 × 5)/(3 × 2 × 1) = 35 P(E) = 35/560 = 35/560 = 1/16 Quantity II. n(s) = ¹⁶C₃ = (16 × 15 × 14)/(3 × 2 × 1) = 560 n(E) = ⁴C₁ × ⁵C₁ × ⁷C₁ P(E) = 140/560 = 1/4 Hence, Quantity I < Quantity II
Statements : R < O ≤ P < Q; M < L ≤ N > O; S < Q ≤ K
Conclusions:
I. M < K
II. N > R
III. O < S
In the question, assuming the given statements to be true, find which of the following conclusion(s) among the three conclusions is/are definitely tru...
If '>' denotes '+', '<' denotes '-', '-' denotes '×', '×' denotes '÷', '÷' denotes '=', then choose the correct statement of the following.
...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 t...
Statements: N # L, L @A, A % I, I & E
Conclusions :
I.E $ L
...Statements: E # L, L @ U, U $ N, N % K
Conclusions: I. K @ U II. K % U III. E @ U
...In each of the questions below are given some statements followed by two conclusions. You have to take the given statements to be true even if they see...
Statement: A ≤ B ≤ C > D; E < D; F > E
Conclusions: I. D > A II. E < C
...Which of the following symbols should replace the question mark (?) in the given expression in order to make the expressions ‘N > S’, and ‘S < V�...
Statements: X < H = U ≤ I < N = M, M > B ≥ V
Conclusions:
I. I > V
II. U ≥ M
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