Aplayer in the mega millions lottery picks five different integers between 1 and 70, inclusive, and a sixth integer between 1 and 25, inclusive, which may duplicate one of the earlier five integers. the player wins the jackpot if all six numbers match the numbers drawn. a) what is the probability that a player wins the jackpot? b) what is the probability that a player wins $1,000,000, the prize for matching the first five numbers, but not the sixth number, drawn? c) what is the probability that a player wins $500, the prize for matching exactly four of the first five numbers, but not the sixth number, drawn? d) what is the probability that a player wins $10, the prize for matching exactly three of the first five numbers but not the sixth number drawn, or for matching exactly two of the first five numbers and the sixth number drawn?