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There is no way someone plays a flush draw like this.

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I'm not sure why you think this without a read. The only guide you might have as to it not being a flush draw is her push on the river. You are playing for half the pot at best, and lose the remainder of the time. You need better than 1.2:1 odds to call this. You have to win the whole pot (which is impossible) 45% of the time to make this call correct mathematically.

(As a side question, does this mean you need to win half the pot 90% of the time to make this call correct?)