Question
ou toss a coin 1500 times and record the results. You then look through your results and find that at one point you got 10
ou toss a coin
1500
times and record the results. You then look through your results and find that at one point you got
10
heads in a row. What is the probability of getting
10
heads in
10
tosses? Should you be surprised to find this "streak" in your set of
1500
tosses? Explain.
The probability that a coin comes up heads
10
times in
10
tosses is
nothing
.
(Type an integer or a fraction.)
Should you be surprised by this streak? Explain.
A.
Yes, because the apparent streak is a mere coincidence and each individual game has an unpredictable outcome still.
B.
No, because it is likely that a coin lands on heads
10
times in a row with a small number of tosses.
C.
No, because
1500
tosses is so many that it is almost inevitable that a long streak will occur.
D.
Yes, because it is not likely that a coin will land on heads
10
times, even with
1500
tosses.
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