SOLUTION TO 30. TWO QUESTIONS IN PROBABILITIES. (1/4)

In tossing with the five pennies all at the same time, it is obvious that there are 32 different ways in which the coins may fall, because the first coin may fall in either of two ways, then the second coin may also fall in either of two ways, and so on. Therefore five 2's multiplied together make 32. Now, how are these 32 ways made up? Here they are:--

(a) 5 heads 1 way

(b) 5 tails 1 way

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SOLUTION TO 30. TWO QUESTIONS IN PROBABILITIES. (3/4)

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only 12 to 20 in your favour, or (which is the same thing) 3 to 5. Put another way, you have only 3 chances out of 8.

The amount that should be paid for a draw from the bag that contains three sovereigns and one shilling is 15s. 3d. Many persons will say that, as one's chances of drawing a sovereign were 3 out of 4, one should pay three-fourths of a pound, or 15s., overlooking the fact that

Dudeney's Amusements@dudeney_puzzles@mathstodon.xyzSOLUTION TO 30. TWO QUESTIONS IN PROBABILITIES. (4/4)

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one must draw at least a shilling--there being no blanks.