That’s in some ways easier—basically this comes down to standard arguments in decision theory, I think...
Since real gambles are always also part of the state of the world that one’s utility function is defined over, you also need the moral principle that there shouldn’t be (dis)utility attached to their structure. Decision theory strictly has nothing to say to the person who considers it evil to gamble with lives (operationalized as not taking the choice with the lowest variance in possible outcomes, or whatever), although it’s easy to make it sound like it does. The moral principle here seems intuitive to me, but I have no idea if it is in general. (Something to Protect is the only post I can think of dealing with this.)
Since real gambles are always also part of the state of the world that one’s utility function is defined over, you also need the moral principle that there shouldn’t be (dis)utility attached to their structure. Decision theory strictly has nothing to say to the person who considers it evil to gamble with lives (operationalized as not taking the choice with the lowest variance in possible outcomes, or whatever), although it’s easy to make it sound like it does. The moral principle here seems intuitive to me, but I have no idea if it is in general. (Something to Protect is the only post I can think of dealing with this.)