This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Determine the total number of possible outcomes. The numbers are chosen from the set \1, 2, 3, , 103\. The total number of possible outcomes is the count of numbers in this set, which is 103. Step 2: Determine the number of favorable outcomes. The favorable outcomes are numbers x such that 4 < x < 83. Since x must be an integer, the numbers in this range are 5, 6, 7, , 82. Step 3: Calculate the count of favorable outcomes. To find the number of integers between two values (exclusive), subtract the smaller value from the larger value and then subtract 1. Number of favorable outcomes = 82 - 5 + 1 = 77 + 1 = 78. Step 4: Calculate the probability. The probability P is given by the ratio of the number of favorable outcomes to the total number of possible outcomes. P = Number of favorable outcomesTotal number of possible outcomes P = (78)/(103) The probability is (78)/(103). That's 2 down. 3 left today — send the next one.