Which situation demonstrates the law of large numbers ? a. if you roll a six-sides number cube 36 times, you will roll a 4 six times. b. if 800 people are randomly surveyed about the tv shows they watch, about 400 of them will be women. c. if you flip a coin 44 times, you will get heads about 22 times. d. if it showed four days last month, it will snow four days this month. the price of three t-shirt styles are $24, $30 and $36. the probability of choosing a $24 t-shirt is 1/6. the probability of choosing a $30 t-shirt is 1/2. the probability of choosing a $36 t-shirt is 1/3. what is the expected value of a t-shirt? $29 $30 $31 $32

The law of large numbers in probability, is a theorem that describes the result of performing the same experiment a large number of times because the average of the results obtained from a large number of trials is close enough to the expected value.

So, according to this definition and the situation given , the correct answer is option B - if 800 people are randomly surveyed about the TV shows they watch, about 400 of them will be women; because there are larger number of experiment.

Part B:

To get the expected value of a t-shirt we will multiply each of the 3 prices by the associated probability, and then add up these three products-

=4 + 15 + 12 = $31

Hence, option C is correct.

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