A point is established in craps

On the come-out roll in craps, a total of 7 or 11 wins instantly and a total of 2, 3, or 12 loses instantly; on any other total a 'point' is established and play continues. With two fair dice, what is the probability the come-out roll establishes a point? Give a decimal to four places.

Show hints (2)+
  1. Point totals aren't listed - use the complement of the resolved totals.
  2. 1P(7 or 11)P(2,3, or 12)1 - P(7\text{ or }11) - P(2,3,\text{ or }12) over 36.

Answer

Reveal answer →

0.6667 (± 0.001)

Want the full step-by-step worked solution? It's part of Premium - along with a worked solution for every question in the bank.

Asked at: Timed Mental-Math & Sequences, ETF Market-Making

Related questions