you flip a coin twice. what is the probability of getting heads and then getting heads?
you flip a coin twice. what is the probability of getting heads and then getting heads?
Answer
Explanation:
Step1: Determine single - flip 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 multiplication rule for independent events
Since the two coin - flips are independent events, the probability of getting heads on the first flip and heads on the second flip is the product of the probabilities of each event. So $P(\text{heads then heads})=\frac{1}{2}\times\frac{1}{2}$.
Step3: Calculate the result
$\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$
Answer:
$\frac{1}{4}$