$)$ In a simple error$-$detecting code, six check bits are added to a block of $120$ data bits using

an interleaved parity scheme. The probability of any bit being received in error is $210-5.$

What is the probability of one bit error in the group of $126$ bits? What is the probability of

two bit errors in the group of $126$ bits, occurring in a way that causes the receiver to

declare the block of data to be correct?