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Statistic Discussion

In this course, what is the chance that in our roster there are at least 2 people with the same birthday (same day, not the same year)? Let’s find out. Please respond with your birthday and a detailed analytical estimate of the likelihood that this will happen.
A street performer approaches you to make a bet. He shows you three cards: one that is blue on both sides, one that is orange on both sides, and one that is blue on one side and orange on the other. He puts the cards in the bag, pulls out one, and puts it on the table. Both of you can see that the card is blue on top, but haven’t seen the other side. The street performer bets you $50 that the other side of the card is also blue. Should you take the bet and WHY?
Now that the previous two questions have gotten you thinking about probability, how does probability apply to your profession?