1
IIT-JEE 1984
+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
$$3/28$$
2
IIT-JEE 1984
+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
$$1/2$$
3
IIT-JEE 1983
+1
-0.25
Fifteen coupons are numbered $$1, 2 ........15,$$ respectively. Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing on a selected coupon is $$9,$$ is
A
$${\left( {{9 \over {16}}} \right)^6}$$
B
$${\left( {{18 \over {15}}} \right)^7}$$
C
$${\left( {{3 \over {5}}} \right)^7}$$
D
none of these
4
IIT-JEE 1982
+2
-0.5
If $$A$$ and $$B$$ are two events such that $$P\left( A \right) > 0,$$ and $$P\left( B \right) \ne 1,$$ then $$P\left( {{{\overline A } \over {\overline B }}} \right)$$ is equal to
A
$$1 - P({A \over B})$$ (Here $$\overline A$$ and $$\overline B$$ are complements of $$A$$ and $$B$$ respectively).
B
$$1 - P({{\overline A } \over B})$$ (Here $$\overline A$$ and $$\overline B$$ are complements of $$A$$ and $$B$$ respectively).
C
$${{1 - P\left( {A \cup B} \right)} \over {P\left( {\overline B } \right)}}$$ (Here $$\overline A$$ and $$\overline B$$ are complements of $$A$$ and $$B$$ respectively).
D
$${{P\left( {\overline A } \right)} \over {P\left( {\overline B } \right)}}$$ (Here $$\overline A$$ and $$\overline B$$ are complements of $$A$$ and $$B$$ respectively).
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