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https://www.ixl.com/math/level-k/find-probabilities-using-two-way-frequency-tables MY IXL Learning Assessment Analytics Level K >K. 33 Find probabilities using two-way frequency tables 9393R On a reality show, contestants had to spin two wheels of fate. Spinning the first wheel determined the remote location where contestants would reside for the duration of the season. Spinning the second wheel determined which ＂bonus survival tool＂ they would be allowed to bring, along with a few other necessary items.\newline\newline\newlineDesert\newlineRainforest\newline\newlineA tent\newline66\newline22\newline\newlineMatches\newline22\newline44\newline\newlineWhat is the probability that a randomly selected participant spun the first wheel and landed on desert or spun the second wheel and did not land on matches? Simplify any fractions.

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Q. https://www.ixl.com/math/level-k/find-probabilities-using-two-way-frequency-tables MY IXL Learning Assessment Analytics Level K >K. 33 Find probabilities using two-way frequency tables 9393R On a reality show, contestants had to spin two wheels of fate. Spinning the first wheel determined the remote location where contestants would reside for the duration of the season. Spinning the second wheel determined which ＂bonus survival tool＂ they would be allowed to bring, along with a few other necessary items.\newline\newline\newlineDesert\newlineRainforest\newline\newlineA tent\newline66\newline22\newline\newlineMatches\newline22\newline44\newline\newlineWhat is the probability that a randomly selected participant spun the first wheel and landed on desert or spun the second wheel and did not land on matches? Simplify any fractions.
  1. Identify total outcomes: Identify the total number of outcomes in the two-way frequency table. Add up all the numbers in the table to find the total number of contestants.\newlineCalculation: 66 (Desert, Tent) + 22 (Desert, Matches) + 22 (Rainforest, Tent) + 44 (Rainforest, Matches) = 1414.
  2. Calculate favorable outcomes Desert: Calculate the number of favorable outcomes for landing on ＂Desert＂.\newlineCalculation: 66 (Desert, Tent) + 22 (Desert, Matches) = 88.
  3. Calculate favorable outcomes not Matches: Calculate the number of favorable outcomes for not landing on ＂Matches＂.\newlineCalculation: 66 (Desert, Tent) + 22 (Rainforest, Tent) = 88.
  4. Calculate combined favorable outcomes: Calculate the number of favorable outcomes for both conditions combined. Since some outcomes are counted twice, subtract the intersection (Desert and Matches).\newlineCalculation: 88 (Desert) + 88 (Not Matches) - 22 (Desert and Matches) = 1414.
  5. Calculate probability: Calculate the probability by dividing the number of favorable outcomes by the total number of outcomes.\newlineCalculation: Probability = 1414=1\frac{14}{14} = 1.

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