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Vlada [557]
3 years ago
15

Cards are drawn with replacement from a standard deck until a king is drawn. does this constitute a binomial​ experiment? why or

why​ not? choose the correct answer below.
a. ​yes, because there are three independent draws. for each draw there are two outcomes​ (king and not​ king) and a constant probability of getting a king.
b. ​no, because there is not a fixed number of trials.
c. ​no, because there are more than two outcomes each time a card is drawn.
d. ​no, because the probability of getting a king will change from one trial to the next.
Mathematics
2 answers:
Flura [38]3 years ago
4 0
The correct answer is B) No, because there is not a fixed number of trials.
loris [4]3 years ago
4 0

Given :Cards are drawn with replacement from a standard deck until a king is drawn.For each trial there are 13 possible outcomes.If we consider binomial experiment there will be  two outcomes. The cards are drawn with replacement that is the number of outcomes are not independent.This does not fulfill property of binomial  experiment .

A binomial experiment is a statistical experiment that has the following properties: The experiment consists of n repeated trials. Each trial can result in just two possible outcomes

Among the given options ,Option  b. ​no, because there is not a fixed number of trials is the right answer.

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The probability that he would have done at least this well if he had no ESP is 4/23.

<h3>How to illustrate the information?</h3>

Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

It should be noted that from the information, the man claims to have extrasensory perception and as a test, a fair coin is flipped 23 times, and the man is asked to predict the outcome in advance and he gets 19 out of 23 correct.

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