what is the probability of flipping heads on the first coin and tails on the second coin? write your answer…

what is the probability of flipping heads on the first coin and tails on the second coin? 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 flipping heads on the first coin and tails on the second coin? write your answer as a fraction or a whole number. with fractions, use a slash ( / ) to separate the numerator and denominator.

Answer

Explanation:

Step1: Probability of first - coin result

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

Step2: Probability of second - coin result

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

Step3: Use multiplication rule for independent events

Since the two coin - flips are independent events, the probability of both events occurring is the product of their individual probabilities. So $P(\text{heads on first and tails on second})=\frac{1}{2}\times\frac{1}{2}$. $\frac{1}{2}\times\frac{1}{2}=\frac{1\times1}{2\times2}=\frac{1}{4}$

Answer:

$\frac{1}{4}$