Part 2: Calculating Probabilities Table 1: Use the data collected in sheet 1-Data Collection to calculate the Answers following empirical probabilities. Write answers as decimals. You can type, for example, "=12/50" and Excel (display only 4 decimal places) will calculate this for you. P(smaller die is odd) 0.4200 P(sum of the numbers is 5) 0.0800 P(same number appears on both dice) 0.1400 P(number on larger die exceeds the number of the smaller die) 0.5800 Answers Table 2: Calculate the following theoretical probabilities*. Write answers (display only 4 as decimals. decimal places) *If you can't find an easier way, you can always answer these theoretical probabilities by listing out all the P(smaller die is odd) possible pairs, then count the number of times the requirement was met and divide by the total number of P(sum of the numbers is 5) possible outcomes. Remember, the total number of possible outcomes is the product of the number of sides on your two dice. I've started the tables in the sheet labeled "Need a Hint". P(same number appears on both dice) P(number on larger die exceeds the number of the smaller die) Table 3: Compare your empirical and theoretical probabilities for each of the four events. To do this, fill the table using the probabilities you found above in decimal form, then compute the difference. Recall: difference Empirical Theoretical Difference means subtract P(smaller die is odd) 0.4200 P(sum of the numbers is 5) 0.0800 P(same number appears on both dice) 0.1400 P(number on larger die exceeds the number of the smaller die) 0.5800Part 1: Collecting Data The smaller die has 6 sides. The larger die has 10 sides. Roll No. Smaller Die Larger Die 4 5 OUT AO H 18 19 20 A W N N O UT H O T A T H O N H W O Q U A A W U N A N U W A N H W H A A O W W H H A A A NA U N U L 32 33 34 35 36 38 39 UI N O N N V