So here goes the question:

I've approached this question with the presumption that the two events are independent. For the magician to have even considered putting his hand in theA magician has two hats containing flowers and animals.

Theblackhat has 3 roses and 2 bunnies.

Thegreenhat has 5 roses and 3 bunnies.

A volunteer from the audience rolls two standard dice (numbers 1 to 6). If the sum of the numbers is equal to or less than 4, the magician takes an object out from thegreenhat; otherwise the magician takes an object from theblackhat.

If the magician obtains a bunny,

what is the?that it came from theprobabilitygreenhatgreenhat; there had to be a sum of 4 or less produced by the rolling of the two dice.

I calculated the chance of rolling sum of 4 or less to be: 6/36 = 0.1666

The chance that a bunny is pulled out can be calculated by: 3/8 = 0.375

adding the above two values reveals theto be : 0.5416probability

What do you guys think? If my reasoning flawed? Are these mutually dependent events? Any insight would be greatly appreciated!