I need serious help with these problems!!!! Assume that the team plays 7 games. If the team is equally likely to win as to lose each game, what is the probability that they win a string of at least 5 games in a row?

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I need serious help with these problems!!!! Assume that the team plays 7 games. If the team is equally likely to win as to lose each game, what is the probability that they win a string of at least 5 games in a row?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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jesus another one. this one easier. only way to get at least 5 game in a row is 1) win all 7 2) win 6 lose 1 3) lose 1 win 6 4)win 1, lose 1, win 1 3) win 5 lose 2 4) lose 2, win 5
i think this is the only way. and since the probability of winning each game is 1/2, each of these events have probability \[\frac{1}{2^7}\] so if i am not mistaken the answer is \[\frac{6}{2^7}\]
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I thought it would be 1/2^7
3 (1/2 )^7 + 2 (1/2) ^7 + 1 (1/2) ^7 = 6 (1/2) ^7 = 6/128 = 3/64 = .047 approx

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