jee-advanced 2023 Q2

jee-advanced · India · paper2 3 marks Probability Definitions Probability Using Set/Event Algebra
Consider an experiment of tossing a coin repeatedly until the outcomes of two consecutive tosses are same. If the probability of a random toss resulting in head is $\frac { 1 } { 3 }$, then the probability that the experiment stops with head is
(A) $\frac { 1 } { 3 }$
(B) $\frac { 5 } { 21 }$
(C) $\frac { 4 } { 21 }$
(D) $\frac { 2 } { 7 }$
Consider an experiment of tossing a coin repeatedly until the outcomes of two consecutive tosses are same. If the probability of a random toss resulting in head is $\frac { 1 } { 3 }$, then the probability that the experiment stops with head is

(A) $\frac { 1 } { 3 }$

(B) $\frac { 5 } { 21 }$

(C) $\frac { 4 } { 21 }$

(D) $\frac { 2 } { 7 }$