1. There are 10 coins in a box, where 2 coins are of Type A with the probability of getting a head 0.4 and the other 8 coins are of Type B with the probability of getting a head 0.7. Suppose one selects a coin randomly from the box and then flip the selected coin 10 times. (a) What is the probability that he/she will get exactly 7 heads?

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