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## Quiz of the Month (July 2004)

### Hector C. Parr

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#### SOLUTION TO LAST MONTH'S QUIZ

```    1.  30 cm
2.  80 cm
3.  6 cm

(For each of questions 2 and 3 a solution which quotes two
possible results is acknowledged only if it indicates which
of the two is the feasible one.)
```

 Notes ```1. AM = BM So XA = YM = 12 AM2 = XM2 + XA2 = 81 + 144 = 225 etc. 2. Centre (r,r) is distance r from (16,8) So (r-16)2 + (r-8)2 = r2, etc Solving, r = 40 (or 8, which is too small for a table). 3. Similarly, (r-1)2 + (r-4)2 + (r-5)2 = r2 Solving, r = 3 (or 7, which is too big for a tennis ball)```

#### THIS MONTH'S QUIZ

A coin of diameter 2 cm is thrown onto a chess board whose squares have sides of length 4 cm. Assuming the coin lands well clear of the edge of the board, find the following probabilities:

1. That the coin lies wholly within one square,
2. That the coin lies partly in just two squares,
3. That the coin lies partly in just three squares.

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