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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.6: Permutations
Problem 31E
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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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