Figures & data
Table 1 Expected number of flips until observing a given triplet.
Fig. 1 Monte Carlo simulation in Excel. The cells with borders (e.g., G11) identify cells whose code is explained in the article.
![Fig. 1 Monte Carlo simulation in Excel. The cells with borders (e.g., G11) identify cells whose code is explained in the article.](/cms/asset/bbb594fb-ecab-40ee-b1e9-b89f717e41ec/ujse_a_1841589_f0001_b.jpg)
Fig. 2 Number of flips into the triplet at failure. A triplet can fail at the first, second, or third flip in a sequence of three flips. At the time of failure, the triplet will require, at a minimum, one to three more flips before being observed.
![Fig. 2 Number of flips into the triplet at failure. A triplet can fail at the first, second, or third flip in a sequence of three flips. At the time of failure, the triplet will require, at a minimum, one to three more flips before being observed.](/cms/asset/ac0206a9-b5c5-4571-b4d0-015a45a578ca/ujse_a_1841589_f0002_c.jpg)
Table 2 Superior triplets (table).
Fig. 3 Superior triplets (graph). If Player A selects a grayed triplet, any triplet connected by an arrow has greater than one-half probability of appearing before Player A’s triplet.
![Fig. 3 Superior triplets (graph). If Player A selects a grayed triplet, any triplet connected by an arrow has greater than one-half probability of appearing before Player A’s triplet.](/cms/asset/1ce14986-faba-459a-98d0-eb51c28014ae/ujse_a_1841589_f0003_b.jpg)