Question

50 points plus brainliest if you get the answer right! Compare the results with the theoretical probability of rolling a sum of 7. How does this comparison change as the number of trials increase? Use four of your vocabulary words in your explanation.

Answer 1

The chance of rolling 7 is infinite, the difference of the rolls would not decrease nor increase

The words I’d use to describe: Infinite, Impossible, plausible and implausible (at the same time)

Answer 2

When rolling two six-sided dice, the theoretical probability of getting a sum of 7 is 6/36 = 1/6 since there are 6 ways to roll a 7 (see the list of sums below) out of 6*6 = 36 outcomes total.

• 1+6 = 7
• 2+5 = 7
• 3+4 = 7
• 4+3 = 7
• 5+2 = 7
• 6+1 = 7

The experimental probability is just whatever results you record when you roll the two dice yourself. This will vary person to person. At first, the experimental probability is likely not going to be close to what it theoretically should be. However, as the number of rolls increases, the experimental probability should slowly approach the theoretical value.