Question

a 12 - sided solid has equal - sized faces numbered 1 to 12.
a. find p(number greater than 7).
b. find p(number less than 3).
c. is the solid fair? explain.
a. p(number greater than 7)=square%
(type an integer or decimal rounded to the nearest tenth as needed.)

Explanation:

Step1: Identify total outcomes

Total faces (outcomes): $n=12$

Step2: Solve part a: Favorable outcomes

Numbers >7: 8,9,10,11,12 → $5$ outcomes
Probability: $\frac{5}{12} \times 100\% \approx 41.7\%$

Step3: Solve part b: Favorable outcomes

Numbers <3: 1,2 → $2$ outcomes
Probability: $\frac{2}{12} \times 100\% \approx 16.7\%$

Step4: Solve part c: Fairness check

All faces are equal-sized, so each number has equal probability ($\frac{1}{12}$) of being rolled. Thus, the solid is fair.

Answer:

a. 41.7%
b. 16.7%
c. Yes, the solid is fair.