$($BONUS$)$ You are considering an investment in Tesla stock, and estimate the following expected returns given $\text{'}$n$\text{'}$ states of nature. You conclude that the expected return of this investment is $8\mathrm{.}5\%.$ Lastly, you believe that state of nature $3$ is twice as likely as state of nature $4.$ What return do you expect in state of nature $3?($Hint: solve for E$($ret$3))($If correct answer is $12\mathrm{.}34\%$ please answer $12\mathrm{.}34)$

state of nature probability of state of nature $\text{'}$n$\text{'}$ expected return in state of nature $\text{'}$n$\text{'}$

$115\%4\%$

$225\%10\%$

$3?$ E$($ret$)?$

$4?12\%$