No. of trials for P>0.99 of at least one basket ball success

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In summary, "P>0.99" refers to the probability of success for a given event or experiment, typically determined through statistical analysis. A probability of 0.99 is chosen to indicate a high level of confidence in the results, with success defined as making a successful basketball shot. Other factors that may affect the number of trials needed for a P>0.99 probability include the difficulty of the task, skill level of participants, and external variables.
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Pushoam
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Homework Statement


upload_2017-11-21_18-36-58.png


Homework Equations

The Attempt at a Solution


Probability of getting no success in one trial ##P( \bar p) = 1 – P (p) = 0.25 ##

Probability of getting no success in n trials ##P_n( \bar p) = (1 – P (p) )^n= (0.25)^n ##

Probability of getting one success in n trials ##P_n( 1p) = 1-(1 – P (p) )^n=1- (0.25)^n ##

We have,

## 1- (0.25)^n \geq 0.99

\\ n \geq 3.3 ##

So, necessary n = 4
Is this correct?
 

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You learn quickly !
I'd say yes, correct.
 

Related to No. of trials for P>0.99 of at least one basket ball success

1. What does "P>0.99" mean in this context?

"P>0.99" refers to the probability of success for a given event or experiment. In this case, it represents the likelihood of at least one successful basketball shot out of a certain number of trials.

2. How is the number of trials determined for this experiment?

The number of trials is typically determined through statistical analysis and calculations. Factors such as the desired level of confidence, the expected success rate, and the acceptable margin of error are taken into consideration to determine the appropriate number of trials.

3. Why is a probability of 0.99 chosen for this experiment?

A probability of 0.99 is chosen to indicate a high level of confidence in the results of the experiment. This means that there is a 99% chance of at least one successful basketball shot occurring within the given number of trials.

4. How is success defined in this experiment?

In this context, success is defined as making a successful basketball shot. This can vary depending on the specific experiment and its objectives, but it is typically based on whether the desired outcome was achieved.

5. What other factors may affect the number of trials needed for a P>0.99 probability?

The number of trials needed for a P>0.99 probability can be affected by various factors such as the level of difficulty of the task, the skill level of the participants, and any external variables that may impact the outcome of the experiment. It is important to consider these factors when determining the appropriate number of trials for a high level of confidence in the results.

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