An urn contains 4 red balls, 5 green balls and 3 yellow balls. An experiment consists of picking 4 balls simultaneously. What is
the probability that you pick at least 3 green balls
1 answer:
Using the hypergeometric distribution, it is found that there is a 0.1515 = 15.15% probability that you pick at least 3 green balls.
The balls are chosen without replacement, hence the <em>hypergeometric </em>distribution is used.
<h3>What is the hypergeometric distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
In this problem:
- There are 4 + 5 + 3 = 12 balls, hence N = 12.
- 5 of the balls are green, hence k = 5.
- 4 balls will be picked, hence n = 4.
The probability that you pick at least 3 green balls is:
Hence:
Then:
0.1515 = 15.15% probability that you pick at least 3 green balls.
You can learn more about the hypergeometric distribution at brainly.com/question/4818951
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The answer is B my teacher told me.