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read the story. fred collects bantam monster toys. the toys are sold in…

Question

read the story.
fred collects bantam monster toys. the toys are sold individually in mystery bags. fred noticed he gets his favorite toy, the green monster, about 25% of the time. he bought 2 mystery bags from the store today. how likely is it that at least 1 of the monsters in them is green?
which simulation could be used to fairly represent the situation?
put 1 green block and 4 blue blocks in a bag. pick a block, then return it to the bag, 2 times. each time a green block appears, it represents a green monster toy.
create a deck of 25 cards, each labeled with a different number from 1 to 25. pick a card, then return it to the deck, 2 times. each time a 25 appears, it represents a green monster toy.
use a computer to randomly generate a pair of numbers from 1 to 4. each time 4 appears, it represents a green monster toy.
submit

Explanation:

Step1: Calculate probability of getting green monster

Fred gets green monster \(25\%=\frac{1}{4}\) of the time.

Step2: Analyze each simulation

  • First option: Total blocks \(1 + 4=5\). Probability of green block \(\frac{1}{5}=20\%

eq25\%\).

  • Second option: Probability of picking card \(25\) is \(\frac{1}{25}=4\%

eq25\%\).

  • Third option: Numbers from \(1\) to \(4\). Probability of getting \(4\) is \(\frac{1}{4}=25\%\).

Answer:

Use a computer to randomly generate a pair of numbers from 1 to 4. Each time 4 appears, it represents a green monster toy.