PLEASE WRITE A C++ CODE

PLEASE WRITE IN C++ CODE

Loot Boxes refer to a pay-to-win mechanism that players are able to buy a lottery and win advanced game items with certain probability. A famous streamer in Taiwan paid millions of NTD to play the lottery for over 471 times and ultimately wins 11 advanced items. The game publisher claims that the winning probability should be 10% per se. That is, if you buy 471 lotteries, your expected value of advanced items should be around 47 (47.1 exactly). Please fix the winning probability to 10% and use Monte Carlo to simulate that: 1. 10,000,000 rounds of simulation 2. 471 lotteries in each round 3. Based on 10,000,000 rounds of simulation, what is the probability of I. Winning