first, they flip a biased coin which shows heads with probability 0.7 and tails with probability 0.3. if it shows heads, in the second step, they flip the same coin for 10 more times; otherwise, i.e., if the coin in the first step shows tails, in the second step they flip a fair coin for 10 times. let a be the event that the coin in the first step shows heads, and let b be the event that the coin flips in the second step show exactly 2 heads.