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

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

Answer

Explanation:

Step1: Calculate the probability of flipping heads on the first coin

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

Step2: Calculate the probability of flipping tails on the second coin

The probability of getting tails on a single - coin flip is (P(\text{tail})=\frac{1}{2}).

Step3: Use the multiplication rule for independent events

Since the two coin flips are independent events (the outcome of the first coin flip does not affect the outcome of the second coin flip), the probability of both events occurring is (P = P(\text{head})\times P(\text{tail})). Substitute (P(\text{head})=\frac{1}{2}) and (P(\text{tail})=\frac{1}{2}) into the formula: (P=\frac{1}{2}\times\frac{1}{2}).

Answer:

(\frac{1}{4})