Question

read the story. brody is going to orchid resort on vacation for 7 days. hes trying to decide if he should pack an umbrella in his luggage. the meteorologist predicts a 30% chance of rain each day hell be there. how likely is it that brody will need an umbrella at least 1 day on his trip? which simulation could be used to fairly represent the situation? use a computer to randomly generate 10 numbers from 1 to 10. each time 1, 2, or 3 appears, it represents a rainy day. roll a six - sided die 7 times. each time 1 or 2 appears, it represents a rainy day. put 3 gray stones and 7 white stones in a bag. pick a stone, then return it to the bag, 7 times. each time a gray stone appears, it represents a rainy day.

Explanation:

Step1: Analyze given probability

The meteorologist predicts a 30% chance of rain each day.

Step2: Check each simulation

• For generating 10 - number simulation: Probability of 1, 2, or 3 is $\frac{3}{10}=30\%$, but 10 numbers are generated not 7 times for 7 - day trip.
• For die - rolling simulation: Probability of 1 or 2 on a six - sided die is $\frac{2}{6}\approx33.3\%$, not 30%.
• For stone - picking simulation: There are 3 gray (rainy) and 7 white stones. Probability of picking a gray stone is $\frac{3}{3 + 7}=\frac{3}{10}=30\%$, and it is done 7 times for 7 - day trip.

Answer:

Put 3 gray stones and 7 white stones in a bag. Pick a stone, then return it to the bag, 7 times. Each time a gray stone appears, it represents a rainy day.