jee-advanced 2009 Q38

jee-advanced · India · paper1 Conditional Probability Conditional Probability with Discrete Random Variable

A fair die is tossed repeatedly until a six is obtained. Let $X$ denote the number of tosses required.
The conditional probability that $X \geq 6$ given $X > 3$ equals
(A) $\frac { 125 } { 216 }$
(B) $\frac { 25 } { 216 }$
(C) $\frac { 5 } { 36 }$
(D) $\frac { 25 } { 36 }$

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

The conditional probability that $X \geq 6$ given $X > 3$ equals\\
(A) $\frac { 125 } { 216 }$\\
(B) $\frac { 25 } { 216 }$\\
(C) $\frac { 5 } { 36 }$\\
(D) $\frac { 25 } { 36 }$

Paper Questions

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