1
IIT-JEE 2009 Paper 1 Offline
+4
-1

A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required.

The probability that X = 3 equals
A
$${{25} \over {216}}$$
B
$${{25} \over {36}}$$
C
$${{5} \over {36}}$$
D
$${{125} \over {216}}$$
2
IIT-JEE 2009 Paper 1 Offline
+4
-1

A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required.

The probability that $$X\ge3$$ equals :

A
$${{125} \over {216}}$$
B
$${{25} \over {36}}$$
C
$${{5} \over {36}}$$
D
$${{25} \over {216}}$$
3
IIT-JEE 2009 Paper 1 Offline
+3
-1

A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required.

The conditional probability that $$X\ge6$$ given $$X>3$$ equals :

A
$${{125} \over {216}}$$
B
$${{25} \over {216}}$$
C
$${{5} \over {36}}$$
D
$${{25} \over {36}}$$
4
IIT-JEE 2008 Paper 2 Offline
+3
-1

An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment. If A consists of 4 outcomes, the number of outcomes that B must have so that A and B are independent is :

A
2, 4 or 8
B
3, 6 or 9
C
4 or 8
D
5 or 10
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