Question

calculating the probability of independent ev
three coins are flipped. what is p(heads, heads, heads)?

Explanation:

Step1: Determine single - coin probability

The probability of getting heads in a single coin - flip is $\frac{1}{2}$ since there are 2 possible outcomes (heads or tails) and 1 favorable outcome (heads).

Step2: Use the multiplication rule for independent events

Since the coin - flips are independent events, the probability of getting heads on the first, second, and third flips is the product of their individual probabilities. So $P(\text{heads, heads, heads})=\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}$.

Step3: Calculate the result

$\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{8}$

Answer:

$\frac{1}{8}$