On a 6 sided dice there are 3 possible even numbers (2,4,6) Noticing these patterns can make counting much easier. It is the sum of the first 6 perfect squares. For example, for a sum less than 14 it just so happens that the number of favourable outcomes is 1 + 4 + 9 + 16 + 25 + 36 = 91. It is important to find some sort of pattern for organized counting. It can be a hassle to list out and count the individual favourable outcomes. If my calculations are correct, there are 91 ways to get a sum less than 14. Count how many results are favourable (produce a number less than 14) and divide that by the total number of outcomes to get the probability. The same applies for an addition which results in a number less than 14. There are a total of 91 ways to get 6 in at least one of the three dice. You can calculate the probability of another event just by finding the total number of outcomes, in this case 216, and counting how many results involve getting one or more 6. Therefore, the probability is still 1/8 after reducing the fraction, as mentioned in the video. And yes, the number of possible events is six times six times six (216) while the number of favourable outcomes is 3 times 3 times 3. Rolling three dice one time each is like rolling one die 3 times. Your first question is basically the same as the one described in the video.
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