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Quiz of the Month (March 2006)

Hector C. Parr

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SOLUTION TO LAST MONTH'S QUIZ

1.   4/3 ft  (i.e. 1 ft 4 ins)
2.   8/3 ft  (i.e  2 ft 8 ins)
3.   16/5 ft (i.e. 3 ft 2 2/5 ins)

Notes.

Each time the ball strikes a cushion, if a mirror-image of the table is drawn as if reflected in that cushion, the image of the ball continues in a straight line into the image of the table. The illustration shows the solution to Q.1, with the ball or its image moving in a straight line from S to A'.

We have XG/SG = A'F'/SF'
So XG/2 = 14/6 (etc.)

THIS MONTH'S QUIZ

A coin is tossed repeatedly and the results recorded.

1. What is the probability that the first six results are all "heads" ?

2. What is the probability that the number of "heads" recorded reaches six before the number of "tails" reaches two ?

3. What is the probability that the number of "heads" recorded reaches six before the number of "tails" reaches three ?

***

© Hector C. Parr (2006)

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