When John and Carl Play a Game,John Wins,on Average,2 Out

question 22

Multiple Choice

When John and Carl play a game,John wins,on average,2 out of every 5 games played.Today they agree to play until John wins one game or until three games have been played,whichever comes first.What is the probability that John wins one game today?

• A)0.432
• B)0.480
• C)0.720
• D)0.784

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Definitions:

Posterior Probabilities

Probabilities that are updated based on new evidence or information, typically used in Bayesian statistics.

Prior Probabilities

Probabilities that reflect beliefs about the uncertainty of events before new evidence is considered.

Likelihood Probabilities

Measures of the plausibility of a hypothesis given certain data, not necessarily summed to one.

Posterior Probabilities

Probabilities that are updated as more evidence or information becomes available, commonly used in Bayesian statistics.