1.A bag holds four counters. One of them is white. Each of the others is either black or white at equal chance. One randomly draws out two counters, and discover they are both white. If one then randomly draws a third counter, what is the chance that it is white?

2.I’m about to play the music songs on Side 1 of a standard LP (diameter = 292 cm) that contains six tracks. The recorded surface area is 487.6 dm^{2} (including the “gaps” between each song) and the average distance between each annulus (i.e. distance between each “groove” along the LP radius) is 197 µm. The total time that it will take to play this side right from the beginning of the first song to exactly the end of the last (6^{th}) song is 18:04 minutes. If the “needle” (stylus) is poised 12.5 mm directly above the beginning of the first song and 2 mm away from the edge of the record, how far does the “needle” travel to the point where the last song just ended?

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## rocdocmac

10 minutes each!

1. A bag holds four counters. One of them is white. Each of the others is either black or white at equal chance. One randomly draws out two counters, and discover they are both white. If one then randomly draws a third counter, what is the chance that it is white?

2. I’m about to play the music songs on Side 1 of a standard LP (diameter = 292 cm) that contains six tracks. The recorded surface area is 487.6 dm

^{2}(including the “gaps” between each song) and the average distance between each annulus (i.e. distance between each “groove” along the LP radius) is 197 µm. The total time that it will take to play this side right from the beginning of the first song to exactly the end of the last (6^{th}) song is 18:04 minutes. If the “needle” (stylus) is poised 12.5 mm directly above the beginning of the first song and 2 mm away from the edge of the record, how far does the “needle” travel to the point where the last song just ended?3. What comes next?

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