with probability 1/2 vs 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 'selects one choice among' is used when describing a selection process. They are not directly comparable as they serve different purposes.

Last updated: March 15, 2024

with probability 1/2

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

This phrase is used to express the probability of an event happening, specifically when the probability is 1/2 or 50%.

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 an even number.
The chances of winning are with probability 1/2.
The event occurs with probability 1/2.

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) .

selects one choice among

This phrase is correct and is used when describing a selection process where one option is chosen from a group of choices.

This phrase is used to indicate the action of choosing one option from a set of options.

Examples:

The committee selects one choice among the many proposals.
The player selects one choice among the available strategies.
The survey allows participants to select one choice among the given answers.
The teacher selects one choice among the students for a special assignment.
The menu allows customers to select one choice among the various dishes.

Show examples from the web [+]

Mar 6, 2003 ... In one of the single selection states indicated by single dashed line circles, a user selects one choice among a list of candidates. Next and ...

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with probability 1/2 vs selects one choice among