A researcher randomly sampled 222 high school students to determine their favorite color and whether or not they played a sport. The two-way table displays the data. A 6-column table with 3 rows. Column 1 has entries plays sports, does not play sports, total. Column 2 is labeled Red, yellow, or orange with entries 32, 35, 67. Column 3 is labeled Blue, green, or purple with entries 36, 41, 77. Column 4 is labeled pink or violet with entries 11, 29, 40. Column 5 is labeled other with entries 11, 29, 40. Column 6 is labeled total with entries 104, 118, 222. The columns are titled favorite color and rows are titled sports participation.

A randomly selected student who participated in the survey is selected. Let event S = the student plays a sport and let event B = favorite color is blue, green, or purple. What is the value of P(B|S)?

StartFraction 36 Over 104 EndFraction
StartFraction 41 Over 118 EndFraction
StartFraction 36 Over 77 EndFraction
StartFraction 41 Over 77 EndFraction