In a carnival game, a player rolls two fair 6-sided dice. a) find the probability that the player gets doubles (same number twice) at the first roll
b) find the probability that the player gets doubles twice in 4 attempts
c) should the player be surprised if he gets doubles more than twice in 4 attempts? justify your answer
d) find expected value and standard deviation of the number of doubles obtained in 4 rolls. explain their conceptual meaning.