Question

2. A roulette wheel is divided into 25 sectors of equal area numbered from 1 to 25. Find a formula for the probability distribution of X, the number that occurs when the wheel is spun

Answer 1

The random variable $X$ may take on the values, $x=1,2,3,....,25$ . The roulette wheel is divided into 25 sectors of equal area meaning that each of the 25 sectors has an equal chance of occurring when the wheel is spun. Therefore, $p(X=x)={1\over25}​, \forall x$ .