A box contains 6 red, 4 blue, 2 green and 4 yellow pens. Two pens are picked at random, what is the probability that one is blue and one is yellow?
Total number of pens = 6 + 4 + 2 + 4 = 16 Let S be the sample space. Then, n(S) = number of ways of drawing 2 pens out of 16 = ¹⁶C2 = (16 × 15 )/( 2 × 1) = 120 Let E= event of drawing two pens so that one is blue and one is yellow n(E) = ⁴C1× ⁴C1= 4 × 4= 16 ∴ P (E) = (n(E))/(n(S)) = 16/120 = 2/15
Conclusions:
I. 20% Mothers can be Sisters.
II. 40% Brother are not Mothers.
Statements:
Statements: All drafts are frames.
No frame is a sketch.
Conclusions: I. No Sketch is a draft.
II. Some drafts are not sketches.<...
Statement:
Some twos are threes
No four is ten
Only a few tens are threes
Conclusion:
I. No three is four
II. ...
Statements: All Bikes are Cars.
Some Cars are scooty.
Conclusions:I. Some Bikes are scooty.
II. Some Cars are Bikes.
III....
Among P, Q, R, S and T whose salary is the highest?
I. Combined salary of P and Q is more than the combined salary of R and S but T’s salar...
Statements:
Some pens are stands.
All stands are pencils.
Conclusions:
I. Some pens are...
Statements:
Some cost are amount.
At least some amount are interest.
100% interest are principle.
Only cost are compound.<...
Statements:
Some nails are toes.
Some fingers are hands.
No hand is a nail.
Conclusions:
I. Some fingers are not nails.
II. All nails can be fingers.
Statements: All diaries are papers.
Some papers are pens.
No pencil is a paper.
Conclusions:I. No diary is a pencil.
II. ...
In the questions given below there are three statements followed by three conclusions I, II and III. You have to take the three given statements to be ...