Question

You toss a penny, nickel, dime, and quarter. What is the probability of all four landing on tails?

(1 point)
Responses

12

1 2

14

1 4

18

1 8

116

Answer 1

To find the probability of all four coins landing on tails, we can consider that each coin has two possible outcomes: heads (H) or tails (T).

The probability of landing on tails for each coin is \( \frac{1}{2} \).

Since the tosses of the coins are independent events, we can multiply the probabilities:

\[
P(\text{all tails}) = P(\text{tails for penny}) \times P(\text{tails for nickel}) \times P(\text{tails for dime}) \times P(\text{tails for quarter})
\]

\[
= \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2}
\]

\[
= \left(\frac{1}{2}\right)^4 = \frac{1}{16}
\]

Thus, the probability of all four coins landing on tails is \( \frac{1}{16} \).

The correct answer is:

116