Applying the Binomial Formula for One Head in Three Flips
To calculate the probability of getting exactly one head in three independent coin flips, the binomial formula can be applied. In this scenario, the number of trials () is 3, the desired number of successes () is 1, and the probability of a single success (heads, ) is 0.5. Substituting these values into the formula, , results in a calculation of $3 \cdot 0.5 \cdot 0.25$, which equals 0.375.
0
1
Tags
Ch.3 Prompting - Foundations of Large Language Models
Foundations of Large Language Models
Foundations of Large Language Models Course
Computing Sciences
Related
Applying the Binomial Formula for One Head in Three Flips
A factory manufactures light bulbs with a 5% defect rate, where the status of each bulb is independent of the others. A quality control inspector randomly selects a sample of 20 bulbs. Which of the following expressions correctly represents the probability that exactly 3 of the sampled bulbs are defective?
Free-Throw Probability Analysis
Evaluating a Statistical Model for Card Draws
Applying the Binomial Formula for One Head in Three Flips
A student is trying to calculate the probability of getting exactly two heads from three fair coin flips. Their reasoning is as follows: 'There are 8 total possible outcomes (2 outcomes per coin for 3 coins, so 2x2x2=8). For the favorable outcome, we need two heads and one tail, such as HHT. Therefore, there is only one favorable outcome. The probability is 1/8.' Which statement best analyzes the error in this reasoning?
Quality Control Probability
The probability of obtaining exactly one 'Heads' in three fair coin flips is identical to the probability of obtaining exactly two 'Heads' in three fair coin flips.
Learn After
Manufacturing Quality Control
A simple genetic trait is determined by a single gene with two alleles, where the dominant allele has a 50% chance of being passed to an offspring. If a parent passes this gene to three separate offspring, what is the probability that exactly one of the three offspring inherits the dominant allele?
Deconstructing a Probability Calculation