Final answer:
The probability of a quarter, a dime, and a penny all landing on heads is found by multiplying the individual probabilities for each coin, resulting in a 12.5% likelihood.
Step-by-step explanation:
The question asks about the probability of a quarter, a dime, and a penny all landing on heads when accidentally dropped. To determine this, we assume each coin has a 50-50 chance of landing on heads or tails, i.e., the probability of heads is 0.5 for each coin toss. Since each coin is independent of the others, we apply the product rule of probability for independent events.
Therefore, the probability of all three coins landing on heads is:
Probability(Quarter on heads) × Probability(Dime on heads) × Probability(Penny on heads) = 0.5 × 0.5 × 0.5 = 0.125 or 12.5%.
This represents an application of the product rule, as each coin toss is an independent event and the final probability is the product of the individual probabilities.