what is the probability of both coins landing on heads? write your answer as a fraction or a whole number…

what is the probability of both coins landing on heads? write your answer as a fraction or a whole number. with fractions, use a slash ( / ) to separate the numerator and denominator.

what is the probability of both coins landing on heads? write your answer as a fraction or a whole number. with fractions, use a slash ( / ) to separate the numerator and denominator.

Answer

Explanation:

Step1: Determine single - coin probability

The probability of a single fair coin landing on heads is $\frac{1}{2}$.

Step2: Use multiplication rule for independent events

Since the two coin - tosses are independent events, the probability of both coins landing on heads is the product of their individual probabilities. So $P(\text{both heads})=\frac{1}{2}\times\frac{1}{2}$.

Step3: Calculate the result

$\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$