1. You and a friend agree to meet at your favorite restaurant between 5:00 P.M. and 6:00...

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1. You and a friend agree to meet at your favorite restaurant between 5:00 P.M. and 6:00 P.M. The one who arrives first will wait 15 minutes for the other, and then will leave (see figure). What is the probability that the two of you will actually meet, assuming that your arrival times are random within the hour?
60 O You meet You meet 45 O You do not meet 30 15 Yøur friend árrves first 15 30 45 Your arrival time (in minutes past

2. You drop a coin of diameter d onto a paper that contains a grid of squares d units on a side (see figure).

1. You and a friend agree to meet at your

(a) Find the probability that the coin covers a vertex of one of the squares on the grid.
(b) Perform the experiment 100 times and use the results to approximate π.

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