What are the odds of rolling a seven or eleven 17 times in a row in the game of craps?

Answer 1

The odds of rolling 7 is .1667 ---> 6/36 The odds of rolling 11 is .0556 ------> 2/36

The odds of rolling a 7 or 11 is .1667 + .0556 = .2223

The odds of rolling a 7 or 11 seventeen times straight is ₁₇C₁₇(p)¹⁷(q)⁰ = (.2223)¹⁷ = 7.9 x 10^-12

(p = .2223 q = 1 - .2223 = .7777)