read the story. brody is going to orchid resort on vacation for 7 days. hes trying to decide if he should…

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.

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.

Answer

Explanation:

Step1: Analyze probability of rain

The probability of rain each day is 30% or $\frac{3}{10}$.

Step2: Check each simulation

  • For the first option: Generating 10 numbers from 1 - 10 and considering 1, 2, 3 as rainy days gives a probability of $\frac{3}{10}$ for a rainy - day simulation.
  • For the second option: Rolling a six - sided die, the probability of getting 1 or 2 is $\frac{2}{6}=\frac{1}{3}\neq\frac{3}{10}$.
  • For the third option: There are 3 gray and 7 white stones. The probability of picking a gray stone is $\frac{3}{3 + 7}=\frac{3}{10}$.

Answer:

Use a computer to randomly generate 10 numbers from 1 to 10. Each time 1, 2, or 3 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.