Question

heather flipped a coin sixteen times, and each time it landed on heads. heather flips the coin one more time, what is the theoretical probability that it will land on tails?
$\frac{1}{6}$ $\frac{3}{5}$ $\frac{5}{6}$ $\frac{1}{2}$

Explanation:

Step1: Identify possible outcomes

A fair - coin has 2 possible outcomes (heads or tails).

Step2: Calculate probability

The probability of an event \(P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}\). For getting tails in a coin - flip, the number of favorable outcomes is 1 (tails), and the total number of possible outcomes is 2 (heads and tails). So \(P(\text{tails})=\frac{1}{2}\).

Answer:

D. \(\frac{1}{2}\)