Question

A fair coin is tossed. If it comes up heads, a single die is rolled. If it comes up tails, two dice are rolled. Given that a 3 was rolled, but you do not know if one or two dice were rolled, what is the probability that the coin came up heads

Answer 1

Answer: Heads is more likely than tails since a 3 is more likely from 1 die than the sum of the results of 2 dice