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Monte Carlo simulation is a useful technique for estimating probabilities.
Use simulation to estimate the probability of being dealt a hand that equals 21 in the game black jack. Note this would amount to being dealt an ace and either a face card or a 10.
Use simulation to estimate the probability of being dealt a flush (all of same suit) in a five card poker hand.
Use simulation to estimate the probability of being dealt a straight (all five cards in consecutive order.) For example, 7, 8, 9, 10, J would be a straight.