Given the following payoff table, compute probabilities P$1$ and P$2$ which will make the Expected Value of Setup $2$ and Setup $3$ equal? What is the value of P$1?$

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Low

Medium

High

Setup $1$

$16$

$21$

$15$

Setup $2$

$25$

$17$

$18$

Setup $3$

$20$

$25$

$15$

Probability

$0\mathrm{.}2$

P$1$

P$2$

$$

$0\mathrm{.}30909$

$0\mathrm{.}4123$

$0\mathrm{.}6109$

$0\mathrm{.}2987$