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## Quiz of the Month (March 2007)

### Hector C. Parr

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#### SOLUTION TO LAST MONTH'S QUIZ

```   1.  3.5
2.  91/36 or 2.5278
3.  49/24 or 2.0417```

Notes.
```Q.3. Total number of ways 3 dice can fall = 63 = 216
Number of ways with no score under 2 = 53 = 125
So number with 1 as least score = 63 - 53 = 91
Similarly number with 2 as least score = 53 - 43 = 61
number with 3 as least score = 43 - 33 = 37
number with 4 as least score = 33 - 23 = 19
number with 5 as least score = 23 - 13 =  7
number with 6 as least score = 13 - 03 =  1
So average of least scores =
(91*1 + 61*2 + 37*3 + 19*4 + 7*5 +1*6)/216 = 441/216 etc.```

#### THIS MONTH'S QUIZ

A, B, C and D are four points on a circle.
Find each of the angles a, b, c and d.
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