Question

Rolling Snake Eyes

1. We roll two six-sided dice d1 and d2. What is the probability that we roll two ones. (i.e., the probability that d1=d2=1).
2. We roll two six-sided dice d1 and d2 and at least one of the dice comes up as a one. What is the (conditional) probability that we roll two ones.
3. We roll two six-sided dice d1 and d2 and at least one of the dice comes up as a one. What is the (conditional) probability that one of our dice came up 6.
4. We roll four six-sided dices d1,…,d4 and at least one of these two events happened:
   X) d1=1 and d3=1; or
   Y) d2=1 and d4=1.
   What is the (conditional) probability that d1=1 and d2=1? (Hint: Review the lecture on Anil's two children (Oct 31st))

Answer 1