Question

Azul used a number cube with the numbers 1–6 in a simulation. He signed 1–4 as a favorable outcome and 5–6 as the unfavorable outcome. What situation could this represent?
A. According to the records from the last 50 years, there is a 1/4 chances of August temperatures being above 95°F. Azul needs to find the probability that it will be above 95°F for 10 or more days this August.

B. According to records from the last 50 years, there is a 16 chance of September temperatures being above 75°F. Azul needs to find the probability that it will be about 75°F for 4 or more days this September.

C. According to records from the last 50 years, there is a 5/6 chance of April temperatures being above 70°F. Azul needs to find the probability that it will be above 70°F for 15 or more days this April.

D. According to records from the last 50 years, there is a 2/3 chance of June temperatures being above 80°F. Azul needs to find the probability that it will be above 80° F for 20 or more days this June.

Answer 1

Answer: The correct choice for this problem is answer D.

In the beginning Azul is describing probability with a number cube. A number cube has 6 possibilities. He labels 4 of them as favorable, 4/6 or 2/3. He labels 2 of them unfavorable, 2/6 or 1/3.

Choice D is the only choice that has a matching probability of 2/3.