Question
If two pencils are picked at random, what is the
probability that either both are green or both are yellow? A box contains 6 red, 4 blue, 2 green and 4 yellow pencils.Solution
Total number of pencils = 6 + 4 + 2 + 4 = 16 Let S be the sample space. Then, n(S) = number of ways of drawing 2 pencils out of 16 = 16C2 = `(16xx15)/(2xx1)` = 120 Let E= event of drawing 2 pencils so that that either both are green or both are yellow = n(E) = 2C2 + 4C2 = 1+6 =7 [if gte msEquation 12]>
Read the given statement and conclusions carefully. Decide which of the given conclusions is/are true based on the statement.
Statement:
U...
Statements: U $ N © C @ H © Y
Conclusions:Â
 I. U © HÂ
II. C # UÂ
III.H © U
Statements: D > E > G ≤ H < I; G > P > F
Conclusions:
I. D > F
II. P < I
III. D > I
If '>' denotes '+', '<' denotes '-', '-' denotes '×', '×' denotes '÷', '÷' denotes '=', then choose the correct statement of the following.
...Statements: Z ≤ O = Q < P; A = X > M = Y ≥ P
Conclusions:
I. A > O
II. Z < X
III. Q ≤ M
Statement: A < B; D ≤ C = B; I > C; E ≥ B
Conclusion:
I. I > E
II. E ≥ I
Statements: S > U ≥ V = X, Y < M < X, Y = T ≥ W
Conclusions:
I. S > Y
II. M ≤ U
III. W < XStatement: C ≥ O ≥ S = Z ≤ N = R
Conclusions:
I. C > N
II. S ≤ R
Statements: Z % Y; X # W; U % V; W & V; Y @ X
Conclusions:Â Â Â Â Â
I. U @ X Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â ...
Statements: B & A, A # O, O $ Z, Z @ S
Conclusions:
I. Z $ A
II. Z & A