Asked by Aparna Narayanan on May 01, 2024
Verified
A perfectly balanced coin is tossed 6 times, and tails appears on all six tosses.Then, on the seventh trial
A) tail can not appear.
B) head has a larger chance of appearing than tail.
C) tail has a better chance of appearing than head.
D) tail has same chance of appearing as the head.
Perfectly Balanced
A term often used in data analysis or statistics to describe a situation where elements are distributed equally or in perfect symmetry.
Trial
An attempt or test to perform a task, or the use of something in experiment to determine its efficiency or effectiveness.
- Comprehend the concept of trial independence within probability experiments.
Verified Answer
ZK
Zybrea KnightMay 06, 2024
Final Answer :
D
Explanation :
The fact that tails appeared 6 times in a row does not affect the probability of the coin toss on the seventh trial. Each coin toss is independent of the previous ones, and the coin is still perfectly balanced. Therefore, the probability of getting a head or a tail on the seventh trial is 1/2 or 50%, and both have an equal chance of appearing.
Learning Objectives
- Comprehend the concept of trial independence within probability experiments.