A player tosses three coins. If the first toss is a Head, find the probability that there are two consecutive Heads among the three coins.

Given the first toss is a Head ($H_1$), the sample space is reduced to 4 outcomes:$\{HHH,HHT,HTH,HTT\}$.We need to find the probability of "two consecutive heads" within this reduced sample space.Consecutive heads can be positions (1,2) or (2,3).HHH: Contains consecutive heads (1,2) and (2,3). (Favorable)HHT: Contains consecutive heads (1,2). (Favorable)HTH: No consecutive heads.HTT: No consecutive heads.Number of favorable outcomes $=2$.Total outcomes in reduced space $=4$.Probability $=2/4=1/2$.