Experimental Probability:

$(2,3)$ appears $2$ times. $2/100=0\mathrm{.}02$

$(3,1)$ appears $1$ time. $1/100=0\mathrm{.}01$

$(3,2)$ appears $1$ time. $1/100=0\mathrm{.}01$

$(3,3)$ appears $2$ times. $2/100=0\mathrm{.}02$

$(4,1)$ appears $3$ times. $3/100=0\mathrm{.}03$

$(4,2)$ appears $4$ times. $4/100=0\mathrm{.}04$

$(4,3)$ appears $1$ time. $1/100=0\mathrm{.}01$

$(5,1)$ appears $7$ times. $7/100=0\mathrm{.}07$

$(5,2)$ appears $4$ times. $4/100=0\mathrm{.}04$

$(5,3)$ appears $1$ time. $1/100=0\mathrm{.}01$

$(6,1)$ appears $6$ times. $6/100=0\mathrm{.}06$

$(6,2)$ appears $2$ times. $2/100=0\mathrm{.}02$

$(6,3)$ appears $4$ times. $4/100=0\mathrm{.}04$

$(7,1)$ appears $6$ times. $6/100=0\mathrm{.}06$

$(7,2)$ appears $10$ times. $10/100=0\mathrm{.}1$

$(7,3)$ appears $7$ times. $=7/100=0\mathrm{.}07$

$(8,1)$ appears $3$ times. $3/100=0\mathrm{.}03$

$(8,2)$ appears $8$ times. $8/100=0\mathrm{.}08$

$(8,3)$ appears $6$ times. $6/100=0\mathrm{.}06$

$(9,1)$ appears $1$ time. $1/100=0\mathrm{.}01$

$(9,2)$ appears $6$ times. $6/100=0\mathrm{.}06$

$(9,3)$ appears $3$ times. $3/100=0\mathrm{.}03$

$(10,1)$ appears $2$ times. $2/100=0\mathrm{.}02$

$(10,2)$ appears $3$ times. $3/100=0\mathrm{.}03$

$(10,3)$ appears $1$ time. $1/100=0\mathrm{.}01$

$(11,1)$ appears $1$ time. $1/100=0\mathrm{.}01$

$(11,2)$ appears $1$ time. $1/100=0\mathrm{.}01$

$(11,3)$ appears $1$ time. $1/100=0\mathrm{.}01$

$(12,1)$ appears $1$ time. $1/100=0\mathrm{.}01$

$(12,2)$ appears $2$ times. $2/100=0\mathrm{.}02$

compare the theoretical probability with the experimental probability you

have generated.

$-$ How close do the probabilities in your theoretical probability distribution

follow the experimental probabilities? You may wish to discuss some

outcomes that have experimental probabilities that are very similar or quite

different than what is expected in the theoretical table,theoretical probability

The variable $x$ will represent the number of movement squares a player's token moves in each furn,