Chapter $3$

in C$++$ Write a program that uses a function that returns a number between $1$ and $6.$ Use this function to simulate the roll of a die. Allow the user to specify the number of trials and then tabulate that number of rolls of two dice. The program must allow for repeated simulations. Initialize rand$()$ using srand$()$ and time$().$

Possible Outcomes for any roll

$111213141516$

$212223242526$

$313233343536$

$414243444546$

$515253545556$

$616263646566$

Possible Totals

$234567$

$345678$

$456789$

$5678910$

$67891011$

$789101112$

Therefore, for example, the odds of a $7$ are $6$:$36$ in any given roll.

If you roll $36$ times then the expected outcome for a $7$ is $6.$ So odds are that you will get a $7,6$ times. The odds you will get a $2$ are $1.$ Tabulate the difference between the expected outcome $($odds$)$ and the random number generator outcome $$ list this as error.

In general, you should notice a decrease in error with more trials.