Question

read the story.
windy hills is in for a snowy month! meteorologists are predicting 2 snowstorms, each with a 75% chance of over 6 inches of snow. if it snows that much in a single storm, sean knows hell get a snow day. how likely is it for sean to get a snow day both times?
which simulation could be used to fairly represent the situation?
put 2 green blocks and 6 blue blocks in a bag. pick a block, then return it to the bag, 6 times. each time a green block appears, it represents a snow day.
roll a six - sided die 2 times. each time a 2 or 6 appears, it represents a snow day.
use a computer to randomly generate a pair of numbers from 1 to 4. each time 1, 2, or 3 appears, it represents a snow day.

Explanation:

Step1: Calculate the probability of snow day in each option

• Option 1:

Total blocks \(2 + 6=8\). Probability of green block (snow - day) \(P=\frac{2}{8}=\frac{1}{4}=25\%\)

• Option 2:

A six - sided die has 6 outcomes. Favorable outcomes (2 or 6) \(n = 2\). Probability \(P=\frac{2}{6}=\frac{1}{3}\approx33.3\%\)

• Option 3:

Numbers from 1 to 4. Favorable outcomes (1, 2, 3) \(n = 3\). Probability \(P=\frac{3}{4}=75\%\)

Since each snow - storm has a \(75\%\) chance of causing a snow - day, and we need to simulate two independent events (two snow - storms), the probability of each single - event simulation should be \(75\%\)

Answer:

Use a computer to randomly generate a pair of numbers from 1 to 4. Each time 1, 2, or 3 appears, it represents a snow day.