Critical Values for the Runs Test for Randomness Can Be $\mathrm { B } , \mathrm { B } , \mathrm { B } , \mathrm { R } , \mathrm { R } , \mathrm { R }$

Essay

Critical values for the runs test for randomness can be calculated by listing all possible sequences. Using the elements $\mathrm { B } , \mathrm { B } , \mathrm { B } , \mathrm { R } , \mathrm { R } , \mathrm { R }$ list the 20 different possible sequences. Find the number of runs for each sequence. Are you able to find $5 \%$ cutoff values for G? What do you conclude?