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Please be very clear in part b) show all steps please. I have trouble understanding that...

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Basic Math

Please be very clear in part b) show all steps please. I havetrouble understanding that part. Thank you.

Whencoin1isflipped,itlandsonheadswithprob- ability .4; when coin2 is flipped, it lands on heads with probability .7. One of thesecoins is randomly chosen and flipped 10 times.
(a) What is the probability that the coin lands on heads on exactly7 of the 10 flips?
(b) Given that the first of these ten flips lands heads, what isthe conditional probability that exactly 7 of the 10 flips land onheads?

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