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## Quiz of the Month (April 2006)

### Hector C. Parr

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#### SOLUTION TO LAST MONTH'S QUIZ

1.  1/64
2.  1/16
3.  37/256

Notes.

Q.3 The condition is satisfied if and only if the number of "tails" in the first 8 throws is 0, 1 or 2.

No. of possible sequences for first 8 throws = 28 = 256
No. of sequences with exactly 0 "tails" = 1
No. of sequences with exactly 1 "tail" = 8
No. of sequences with exactly 2 "tails" = 28

So probability = (1 + 8 + 28)/256 = 37/256

#### THIS MONTH'S QUIZ

The words of the GAB language comprise every possible permutation of three letters in which vowels and consonants alternate. The complete GAB dictionary is published in three volumes with an equal number of words defined in each volume. So Volume I begins with ABA and Volume III ends with ZUZ.

1. How many words are there in the GAB language ?

2. What is the first word defined in Volume II ?

3. What is the last word defined in Volume II ?

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