The Chinese SSQ lotto draws 6 random red numbers from {1,2,...,33} and random blue number from {1,2,...,16}. You play the game by choosing 6 red numbers and 1 blue number. You win the jackpot if you catch all the 7 numbers. Suppose 100 million tickets are sold. Use Poisson approximation to find the probabilities of the following events.
(a) No player wins the jackpot.
(b) Exactly two players win the jackpot.
(c) At least 4 players win the jackpot.