+1246 A pirate is searching for buried treasure on 6 islands. On each island, there is a 14 chance that the island has buried treasure and no traps, a 112 chance that the island has traps but no treasure, and a 23 chance that the island has neither traps nor treasure. What is the probability that while searching all 6 islands, the pirate will encounter exactly 3 islands with treasure, and none with traps?
