If you have a box of chocolate that has 5 dark chocolates and 8 milk chocolates. How many times would you have to reach in the box and take a chocolate out at a time. How many times would you have to reach in to get at least either 2 milk or 2 dark chocolate bars.
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To determine how many times you would have to reach in the box to get at least either 2 milk or 2 dark chocolate bars, we can break the problem down into two separate scenarios.
Scenario 1: Getting at least 2 milk chocolates:
In order to calculate this, we need to consider the worst-case scenario where we first draw all the dark chocolates before getting the required 2 milk chocolates. We can calculate the maximum number of times to reach in the box by subtracting the number of milk chocolates from the total number of chocolates:
Total number of times = (Total chocolates) – (Number of milk chocolates)
Total number of times = (5 + 8) - 2 = 11 times
Scenario 2: Getting at least 2 dark chocolates:
Similarly, we can calculate the maximum number of times to reach in the box by subtracting the number of dark chocolates from the total number of chocolates:
Total number of times = (Total chocolates) – (Number of dark chocolates)
Total number of times = (5 + 8) - 2 = 11 times
Since both scenarios require 11 times to reach in the box, we can conclude that you would have to reach in the box 11 times to get at least either 2 milk or 2 dark chocolate bars.