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Mathematics, 31.03.2021 16:00 laylahedwards

On the way to Amanda's work, there are two coffee shop side by side: Shop A and Shop B. Every day, she randomly chooses between the two to buy a cup of coffee. Choices are independent from day to day, and the probability that she chooses Shop A is 0.3. Both shops offer "Buy 10 coffee and next one is free" coupon. Amanda has been to Shop A 5 times, and Shop B 7 times already. What is the probability that Amanda gets Shop A's coupon filled before Shop B's?

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