I just reread Sue's post from above. She wrote: "Proper strategy is designed with the goal of making your bankroll last longer during a session (not necessarily because it is more likely to produce a winning hand on any one hand)."
So in discussing the replies with my friend, my friend referred to John Grochowski's book on Video Poker strategy. In his chapter on 9-6 Jacks or Better strategy, he has a hand similar to the one used in my friend's example. In Grochowski's example he has Jh 2c 2d 4c 7c and Grochowski writes:
"Hold just the Jack in this hand, and you'll draw a winner 33.8 percent of the time, while holding the pair of 2s will yield a winner only 28.7 percent of the time.... Hold the single Jack and you'll have more winning hands. But hold the pair of 2s, and you'll win more money." Of course pairing a Jack which is a break even play is also considered to be a winning hand in VP. (One of the ironies of advantaged play strategy.)
The flip side of winning more money is that 61.3% of the time you will lose. So Sue, please explain your statement: "Proper strategy is designed with the goal of making your bankroll last longer during a session (not necessarily because it is more likely to produce a winning hand on any one hand)."
Sorry if you find it to be a lame question. But I just don't understand what you wrote or meant. From what Grochowski writes it seems that he is sacrificing a better chance of "breaking even" for the chance to win more money.