for an in - class demonstration, a teacher flips a fair coin 5 times, and each of the 5 times it lands on…

for an in - class demonstration, a teacher flips a fair coin 5 times, and each of the 5 times it lands on heads. a student argues that it is more likely to land on tails on the next, or 6th, flip. is the student correct? explain your reasoning.

for an in - class demonstration, a teacher flips a fair coin 5 times, and each of the 5 times it lands on heads. a student argues that it is more likely to land on tails on the next, or 6th, flip. is the student correct? explain your reasoning.

Answer

Answer:

No, the student is not correct.

Explanation:

Step1: Understand coin - flip nature

Each coin - flip is an independent event.

Step2: Analyze probability of each flip

For a fair coin, the probability of getting heads or tails on any single flip is $\frac{1}{2}$, regardless of previous flips. So, the outcome of the first 5 flips (all heads) has no impact on the 6th flip. The probability of getting tails on the 6th flip is still $\frac{1}{2}$.