How many losses are suffered in the Hydrophobic-Polar protein folding model if we fold randomly?

Instructions
Upper bound The possible locations for winning points are:
(0,9) (0,11) (0,19) (0,23) (0,27) (0,31) (0,39) (2,9) (2,11) (2,19) (2,23) (2,27) (2,31) (2,39) (8,11) (8,19) (8,23) (8,27) (8,31) (8,39) (9,16) (9,20) (9,26) (9,32) (9,38) (10,19) (10,23) (10,27) (10,31) (10,39) (11,16) (11,20) (11,26) (11,32) (11,38) (16,19) (16,23) (16,27) (16,31) (16,39) (19,26) (19,32) (19,38) (20,23) (20,27) (20,31) (20,39) (23,26) (23,32) (23,38) (26,31) (26,39) (27,32) (27,38) (31,38) (32,39)
Thus we have an upper bound of 56.

String to fold:

`0101111100001111011001101100111001111100`

* or 😱 means backing up from a dead end.

Random fold:
Preformatted text view
`              1←1←0                   ↓   ↑                 1←1 1→0                 ↓   ↑                   1   1←1←0←0             ↓         ↑           0←0         1                       ↑ 1←0         1→1 1→1→0→1 ↓           ↑ ↓ ↑       0→1       1→0 0→0         ↓       ↑               1→1     1                 ↓     ↑                 1 0→0 1                 ↓ ↑ ↓ ↑                 1→0 0→1                                     `
 🔵 ◼️ 🔵 ◼️ 🔴 ◼️ ◼️ 🔵 ◼️ 🔵 🔵 ◼️ 🔴 ◼️ ◼️ 🔵 🔵 ◼️ 🔵 ◼️ 🔴 ◼️ 🔴 ◼️ ◼️ 🔴 ◼️ 🔴 🔵 ◼️ 🔵 ◼️ 🔴 🔵 ◼️ 🔵 🔵 ◼️ 🔵 ◼️ 🔴 ◼️ 🔵 ◼️ 👶 ◼️ ◼️ ◼️ 🔴 ◼️ 🔵 🔵 ◼️ 🔴 ✔️ 🔴 ◼️ 🔴 ◼️ ◼️ 🔵 ◼️ 🔵 🔵 ◼️ ◼️ 🔵 🔴 ◼️ 🔴 🔵 ◼️ ◼️ ◼️ ◼️ 🔵 ◼️ 🔴 ✔️ 🔴 ◼️ 🔵
Current fold sequence:
←↓→↓→↓↓→↑→↓→↑↑↑→↑→↓→↑→→→↑↑←←←↑→↑←←↓←↓↓←

Current number of incidences Wins achieved: 2 Losses suffered: 5