This the second part of the series of posts on Experimental and Theoretical Probability.
In the first part of this series, we used a spreadsheet to simulate the rolling of dice 1000 times and automatically recorded the sums. We have observed that the sum frequencies are not evenly distributed (see Figure 1).
In rolling the two dice 1000 times, for example, we rolled a seven 156 times, while we only rolled a two 29 times. Well, we want to think that this is just a coincidence, so maybe we could try it one more time. » Read more
This the first part of the series of posts on Experimental and Theoretical Probability.
If two standard cubical dice are rolled, one red and one blue, the possible sums ranges from 2 = (1+1) and 12 = (6+6).
Now, are the chances of getting these 11 sums equal? For example, is the chance of getting a sum of 2 similar to the chance of getting a sum of 5?
Let us try to roll the two dice 1000 times. Of course, we will not do this manually. » Read more
Many of you are probably familiar how lottery works. A lottery is a game where a smaller group of numbers is chosen from a larger group. If you bet on the right combination, you win the jackpot prize, which is usually staggering.
Although there is a common concept about lottery, there are variations in different places or countries. In this post, I will use ours as an example. In the Philippines, as of this writing, we have three types of lottery: 6/42, 6/45 and 6/49. Yes, you guessed it right, 6/42 means 6 numbers are randomly chosen from a set of numbers from 1 through 42. We use the 6/42 lottery in the following discussion. » Read more