To find the probability of all four coins (a penny, nickel, dime, and quarter) landing on tails, we first need to determine the total number of outcomes for each coin. Each coin has 2 possible outcomes (heads or tails).
The total number of outcomes when tossing 4 coins is:
\[ 2 \times 2 \times 2 \times 2 = 2^4 = 16 \]
Out of these 16 possible outcomes, only 1 outcome results in all coins landing on tails (TTTT).
Thus, the probability (P) of all four coins landing on tails is given by:
\[ P(\text{all tails}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{1}{16} \]
Therefore, the probability of all four coins landing on tails is \(\frac{1}{16}\).
The correct response is \( \frac{1}{16} \).
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