1
IIT-JEE 1984
Subjective
+4
-0
Find the area of the region bounded by the $$x$$-axis and the curves defined by $$$y = \tan x, - {\pi \over 3} \le x \le {\pi \over 3};\,\,y = \cot x,{\pi \over 6} \le x \le {{3\pi } \over 2}$$$
2
IIT-JEE 1984
MCQ (Single Correct Answer)
+2
-0.5
Three identical dice are rolled. The probability that the same number will appear on each of them is
A
$$1/6$$
B
$$1/36$$
C
$$1/18$$
D
$$3/28$$
3
IIT-JEE 1984
MCQ (Single Correct Answer)
+2
-0.5
A box contains $$24$$ identical balls of which $$12$$ are white and $$12$$ are black. The balls are drawn at random from the box one at a time with replacement. The probability that a white ball is drawn for the $$4$$th time on the $$7$$th draw is
A
$$5/64$$
B
$$27/32$$
C
$$5/32$$
D
$$1/2$$
4
IIT-JEE 1984
MCQ (More than One Correct Answer)
+3
-0.75
If $$M$$ and $$N$$ are any two events, the probability that exactly one of them occurs is
A
$$P\left( M \right) + P\left( N \right) - 2P\left( {M \cap N} \right)$$
B
$$P\left( M \right) + P\left( N \right) - P\left( {M \cap N} \right)$$
C
$$P\left( {{M^c}} \right) + P\left( {{N^c}} \right) - 2P\left( {{M^c} \cap {N^c}} \right)$$
D
$$P\left( {M \cap {N^c}} \right) + P\left( {{M^c} \cap N} \right)$$
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