Question: In an unnamed web development unit, a student has made a website that randomly generates the word Red or Blue when a button is clicked.

In an unnamed web development unit, a student has made a website that randomly generates the word "Red" or "Blue" when a button is clicked. "Red" appears with a probability of 0.7.

Use the geometric distribution to find the probability of clicking the button 2 times before seeing the word "Blue" for the first time on the next click (so "Red" is seen 2 times). Please provide your answer to 3 decimal places.

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