Question

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?

Answer 1

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

Answer 2

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
\[\frac{6}{2^7}\]

Answer 3

It did not work

Answer 4

I thought it would be 1/2^7

Answer 5

3 (1/2 )^7 + 2 (1/2) ^7 + 1 (1/2) ^7 = 6 (1/2) ^7 = 6/128 = 3/64 = .047 approx