Week 2: Probability Issues In this course, what is the chance that in our roster

Question

Week 2: Probability Issues

In this course, what is the chance that in our roster there are at least 2 people with the same birthday (same day, not 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?

Explanation / Answer

1. To answer problem 1 you must provide how many people are there in total.

2. Street peformer have 3 cards one with blue on both sides, one with orange on both sides and one with blue on one and orannge on other sides. There are total 6 faces different faces three with blue colour and three with orange colour.

Now street performer pick a card whose one face is blue he bets for other face of card is also blue. Now the chance of getting other face of card blue is 2/3 as one face is allready blue. Where as the chnace of getting other face of card with orange colour is 1/3

So chance of getting orange face is 1/3 < 1/2 hence one should nt accept the bet of $50

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