Final answer:
The probability of a penny, nickel, dime, and quarter all landing on tails when tossed is 1/16.
Step-by-step explanation:
The question is asking for the probability of landing all tails when tossing a penny, a nickel, a dime, and a quarter. Each coin has two possible outcomes when tossed - heads (H) or tails (T) - and each outcome has a probability of 1/2. Since the four coins are independent of each other, the probabilities multiply for each coin flip. Therefore, to calculate the overall probability of all four coins landing on tails, we multiply the probability of landing tails on each individual coin flip:
Probability of all tails = (1/2) × (1/2) × (1/2) × (1/2)
= 1/16
So, the correct answer is 1/16.