What is the probability of tossing at least 1 tail if you toss 3 coins at once?

Upper level probability
asked 2020-11-09
What is the probability of tossing at least 1 tail if you toss 3 coins at once?

Answers (1)

Lets denote HH after getting heads and TT after getting tails as toss a result. Then after tossing 33 coins we will get following probable cases,
and chances of getting at least one tail if one of following case occurs
Therefore, probability of getting at least one tail after tossing 3 coins is \(\displaystyle{\left(\frac{{\left|{S}\right|}}{{\left|{S}{t}\right|}}\right)}=\frac{{7}}{{8}}.\)

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