In one esteemed study of 1800 whitney attempters a few summers back, about 75% of all asked had symptoms of altitude illness. Inasmuch as that included the people who had acclimatized a bit, the odds for someone who has not, is probably over 90%.
If I were doing what you are doing, I'd take Diamox 125 mg or so at bedtime only starting two days before you leave, and the nite you spend in Lone Pine.
You're odds otherwise are probably 50-50. The Diamox probably increases it to 80%.
Hike together, get a good map, use headlamps.
