[yoshi_yoshi]

Equity vs random: 53.889%

So according to the Kelly criterion (there are calculators on google) you should risk 7.78% of your bankroll if you have the guts to do so.

Edit: kelly criterion is used for example in Blackjack to find out what the optimal % of your bankroll to bet on any single hand given that you know what percent advantage you have.

So in this hand you have a 3.9% advantage, obviously the most +EV decision is to bet your whole bankroll in. But if the bankroll is all you have, you want to avoid going bust, so the Kelly criterion calculates the optimal % of your bankroll you want to put in that balances getting +EV and not wanting to go bust.