YQUESTION $20$

$4\mathrm{.}76(4\mathrm{.}92)($b$)$ Tversky then offered a different choice. One program has probability of $\frac{1}{2}$ of saving all $600$ people and probability $\frac{1}{2}$ of losing all $600$ while the other $[$Program $3]$ will definitely lose exactly $200$ lives. What is the mean number of saved lives for Program $1$ and Program $3.$

Program $1$: $300$; Program $3$: $200$

Program $1$: $300$; Program $3$: $400$

Program $1$: $300$ ; Program $3$: $300$