You toss a coin 2000 times and record the results. You then look through your results and find that at one point you got 12 heads in a row. What is the probability of getting 12 heads in 12 tosses? Should you be surprised to find this​ "streak" in your set of 2000 ​tosses? Explain.   Part 1 The probability that a coin comes up heads 12times in 12 tosses is__? ​(Type an integer or a​ fraction.) Part 2 Should you be surprised by this​ streak? Explain.     A. ​Yes, because it is not likely that a coin will land on heads 12​times, even with 2000 tosses.   B. ​No, because 2000 tosses is so many that it is almost inevitable that a long streak will occur.   C. ​Yes, because the apparent streak is a mere coincidence and each individual game has an unpredictable outcome still.   D. ​No, because it is likely that a coin lands on heads 12 times in a row with a small number of tosses.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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You toss a coin 2000 times and record the results. You then look through your results and find that at one point you got 12 heads in a row. What is the probability of getting 12 heads in 12 tosses? Should you be surprised to find this​ "streak" in your set of 2000 ​tosses? Explain.
 
Part 1
The probability that a coin comes up heads 12times in 12 tosses is__?
​(Type an integer or a​ fraction.)
Part 2
Should you be surprised by this​ streak? Explain.
 
 
A.
​Yes, because it is not likely that a coin will land on heads 12​times, even with 2000 tosses.
 
B.
​No, because 2000 tosses is so many that it is almost inevitable that a long streak will occur.
 
C.
​Yes, because the apparent streak is a mere coincidence and each individual game has an unpredictable outcome still.
 
D.
​No, because it is likely that a coin lands on heads 12 times in a row with a small number of tosses.



 
 
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