Question

If you have a sample with 20 observations, and a model whose likelihood, given that sample, was (1/2)²⁰, which uniformly-distributed real-world phenomenon is the model representing?

a	Flipping a fair coin 20 times.
b	Rolling a fair die 20 times.
c	Opening a calendar to a random month 20 times.
d	Spinning a French roulette wheel 20 times.

Answer 1

Answer: a. Flipping a fair coin 20 times.

Explanation:

Here, Flipping a fair coin has 2 outcomes which will give probability of each outcome (1/2).

Rolling a fair die has 6 outcomes and it will give probability of each outcome=(1/6).

Opening a calendar to a random month will have 12 outcomes (Jan,Feb,Mar,Apr,May,......,Dec). Probability of each outcome is (1/12).

Spinning a French roulette has 37 outcomes. Outcomes are numbers from 0 to 36. Probability of each outcome is (1/37).