I'm kind of stumped on this one. I have a dice that I have rolled, 50, 100, and 200 times respectively, and recorded down the number of times that a 1-6 have landed. Now that I've done this, the goal is to plot the probability of each side with a 95% confidence interval. How am I supposed to calculate separate confidence intervals for the individual sides?
2026-03-27 03:46:21.1774583181
Sampling a Dice to test its Fairness
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Individual side:
For 1, you count how many times you got side 1. Let’s say the number = $n_1$, and the total trial (how many times you threw a die)=$N$
The sample proportion of side 1, $\bar p_1=\frac{n_1}{N}$
Standard Deviation of the sample proportions $ \sigma_{\bar{p_1}} =\sqrt{\frac{\bar{p_1}(1-\bar {p_1})}{N}}$
Margin of Error, $E=z_{95\%} \sigma_{\bar{p_1}} $
Repeat side 2,3,4,5, and 6