Dice probability

Questions 1 to 5 of 7

1. 1. Two six-sided dice are thrown. There are 36 equally likely outcomes. How many of them have a total of 7?

   Type a number.

2. 2. Why does count_totals take % MOD after each addition?

   To turn each count into a probability between 0 and 1To stop the face loop once the total is passedTo keep every stored value below MOD, so the table stays small and fast to compute withTo switch the table from counts to floats
3. 3. Three six-sided dice are thrown. How many of the 216 outcomes have a total of 10?

   Type a number.

4. 4. What does this program print? ``python big = 2_000_000_000 print(big + big) ``

   -2949672962000000000An OverflowError4000000000
5. 5. Using the modulus 1000000007, the probability of a total of 7 with two six-sided dice is two[7] * inverse % MOD, where inverse is the inverse of 36. What modular value does this give?

   Type a number.