Which of the following sequences resulting from tossing a fair coin 6 times is most likely: TTTTTT, TTTHHH, THTHTH, or TTHTHT? Explain
2006-10-15 05:35:56 · 3 answers · asked by Connie S 1 in Education & Reference ➔ Higher Education (University +)
The probability of any of those exact sequences happening is exactly the same. Each involves 6 events that are each 50% likely, so the odds of any one exact sequence of six tosses is precisely the same.
2006-10-18 13:52:27 · answer #1 · answered by F. Frederick Skitty 7 · 0⤊ 0⤋
Any of the sequences are likely. Since a coin has two sides, it is a 50/50 chance on each toss. Because the odds are the same each throw, any of the sequences could happen.
2006-10-15 12:45:12 · answer #2 · answered by ima_jabronee 2 · 1⤊ 0⤋
I'd rather say the last one, because I cannot imagine you could toss a coin and have it fall:
1) 6 times on the same side
2) 3 times in a row on the one side, then 3 times in a row on the other
3) every other time on the same side
the last case seems the most likely, as it's "irregular", so there is no "pattern" - in my opinion, patterns are more difficult to achieve if you go for random ;)
2006-10-15 12:45:34 · answer #3 · answered by smilingcat 3 · 0⤊ 1⤋