You are playing a gambling game with a pirate in which you roll two fair six - sided dice. If the sum of the dice is a prime number, then you must walk the plank ... and you can’t swim! If you manage to avoid the plank, there’s a 1/13
chance that the pirate will behead you with his sword. What is the probability that you will survive?

Question

You are playing a gambling game with a pirate in which you roll two fair six - sided dice. If the sum of the dice is a prime number, then you must walk the plank ... and you can’t swim! If you manage to avoid the plank, there’s a 1/13
chance that the pirate will behead you with his sword. What is the probability that you will survive?

anonymous · Answer

did you draw a tree diagram?

anonymous · Answer

|dw:1394424994403:dw|

anonymous · Answer

P(survive) = p(~prime) * P(~beheaded | ~prime)

anonymous · Answer

Oh I did not. Thanks for the diagram!