1. In backgammon, one rolls a pair of two fair dice. The probability of getting a sum of 7 is:
A) 3/36.
B) 4/36.
C) 5/36.
D) 6/36.
E) None of the above.
2. A game involving a pair of dice pays out $4 with probability 16/36, costs you $2 with probability 14/36, and costs you $6 with probability 6/36.
What is your expected gain, in dollars, per play?
A) -$1.78
B) -$8
C) $0
D) $8
E) $1.78