Bits $0$ and $1$ are sent over an information channel. Due to noise each bit is received incorrectly with probability $0\mathrm{.}5$

independently of each other. Instead of sending a bit $0$ once, it is decided to sent the same bit five times repeatedly $00000,$ and instead of sending a single bit $1,$ it is sent the same bit five times repeatedly $11111.$ The receiver decode a received code by choosing the most frequent bit appearing in the code $-$ for example, $00000->$

$0,01010->$

$0,01101->$

$1.$