11) A professional basketball player with a poor free throw percentage gets a personal coach to help him increase his percentage. He tells his coach that he has raised his proficiency from 70% to 90%. To see whether the athlete has improved, the coach asks the athlete to take 10 shots. He hits 10 out of 10. Suppose the athlete really is no better than before (still a 70% shooter). What's the probability that he could hit at least 10 out of 10 shots anyway