Question

Suppose you physically simulate the random process of rolling a single die. ​(a) After 1010 rolls of the​ die, you observe a​ "one" 44 times. What proportion of the rolls resulted in a​ "one"? ​(b) After 2020 rolls of the​ die, you observe a​ "one" 22 times. What proportion of the rolls resulted in a​ "one"?

Answer 1

Answer:

(a) 0.4 or 40%

(b) 0.1 or 10%

Step-by-step explanation:

(a) If you get 4 "ones" after 10 rolls of the die, the proportion of the rolls that resulted in "ones" is:

$p=\frac{4}{10}\\ p=0.4$

(b) If you get 2 "ones" after 20 rolls of the die, the proportion of the rolls that resulted in "ones" is:

$p=\frac{2}{20}\\ p=0.1$