with probability 1/2 vs the encoder selects one choice among

Both phrases are correct, but they are used in different contexts. 'With probability 1/2' is commonly used in probability and statistics to indicate a specific likelihood, while 'the encoder selects one choice among' is used in the context of encoding or decision-making processes.

Last updated: March 15, 2024 • 510 views

This phrase is correct and commonly used in probability and statistics to indicate a specific likelihood of an event occurring.

"with probability 1/2"

This phrase is used to express the likelihood of an event happening, with a probability of 1/2 meaning a 50% chance of occurrence.

Examples:

The coin has with probability 1/2 of landing on heads.
With probability 1/2, the experiment will yield a positive result.
The dice has with probability 1/2 of rolling a six.
With probability 1/2, the team will win the game.
The machine has with probability 1/2 of producing a defective product.

Show examples from the web [+]

he chooses each door with probability 1/2. Marilyn clearly expected her readers to assume that the game was played in this manner. As is the case with most ...
The first lands on heads with probability 1/2. The second lands on heads with probability 1/3. You choose a coin at random (each possibility being equally likely) ...
An example of such distributions could be a mix of discrete and continuous distributions—for example, a random variable that is 0 with probability 1/2, and takes ...
False Claim 6.1. The player wins with probability 1/2. False proof. Let Ai be the event that the ith die matches the player's guess. Pr{win} = Pr{A1 ∪ A2 ∪ A3}. (1) .

This phrase is correct and is used in the context of encoding or decision-making processes to indicate the selection of one option from a set of choices.

"the encoder selects one choice among "

This phrase is used when describing a process where an encoder or decision-maker is choosing one option from a group of options.

Examples:

The encoder selects one choice among the available options.
The algorithm will choose one choice among the possible outcomes.
The player must select one choice among the different paths.
The system will randomly pick one choice among the alternatives.
The committee will decide on one choice among the proposals.

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with probability 1/2 vs the encoder selects one choice among