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

what is the probability of both coins landing on tails? 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 tails? 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 coin landing on tails is $\frac{1}{2}$ since there are 2 possible outcomes (heads or tails) and 1 favorable outcome (tails).

Step2: Use multiplication rule for independent events

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

Step3: Calculate the result

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

Answer:

$\frac{1}{4}$