She must win the next 8 consecutive games to get 80% and after that loose the next 12 games to get to 50%.
<h3>How to find the probability of winning?</h3>
She has won 8 out of 12 days. Thus, percentage of winning is;
P(winning) = 8/12 * 100%
P(Winning) = 75%
To arrive at 80% winning, it means that the number of extra consecutive games she must win is;
(8 + x)/(12 + x) = 80/100
10(8 + x) = 8(12 + x)
80 + 10x = 96 + 8x
2x = 16
x = 8
Thus, she must win the next 8 consecutive games to get 80%.
For her to get to 50% after that, it means that;
(16 - x)/(20 - x) = 50/100
(16 - x)/(20 - x) = 1/2
2(16 - x) = 20 - x
32 - 2x = 20 - x
x = 12
Read more about Probability of winning at; brainly.com/question/24756209
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