Question

you flip a coin three times. what is p(heads, heads, heads)? (1 point) 1/8 1/3 1/2 1/4

Explanation:

Step1: Calculate probability of one head

The probability of getting heads in a single coin - flip is \(P(\text{head})=\frac{1}{2}\).

Step2: Use multiplication rule for independent events

Since the coin - flips are independent events, for three independent flips, \(P(\text{heads},\text{heads},\text{heads})=P(\text{head})\times P(\text{head})\times P(\text{head})\).
Substitute \(P(\text{head}) = \frac{1}{2}\) into the formula: \(\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\).

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Answer:

\(\frac{1}{8}\) (corresponding to the first option)