Well, the first coin has chance 29 20 to be a penny. When it is a penny, the only valid case (the other case gives 0 for the multiplications later, so it is ignored) gives 28 19 chance for the second one to be a penny. The result is 29 ∗ 28 20 ∗ 19 , which is 203 95 , or about 46.80% (rounded to the first 2 decimals)
9 dimes ;
The probability that both coins drawn from the fountain are pennies is 203 95 , which is about 46.80%. This result is obtained by multiplying the probabilities of drawing a penny first and then another penny after the first has been removed. The steps involved taking into account the total number of coins and the remaining coins after each draw.
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