Theoretical and experimental probability for predictions

    Using theoretical and experimental probability for predictions a. Jill has a bag of 48 marbles. The probability of pulling out a yellow marble is 5/6. How many yellow marbles are in the bag? π‘¦π‘’π‘™π‘™π‘œπ‘€ π‘‘π‘œπ‘‘π‘Žπ‘™ π‘šπ‘Žπ‘Ÿπ‘π‘™π‘’π‘  βˆ™ = π‘¦π‘’π‘™π‘™π‘œπ‘€ π‘‘π‘œπ‘‘π‘Žπ‘™ π‘šπ‘Žπ‘Ÿπ‘π‘™π‘’π‘  b. Ivan’s batting average is 0.3. If he is up to bat 70 times, how many times can the coach expect him to hit the ball? β„Žπ‘–π‘‘π‘  π‘Žπ‘‘ π‘π‘Žπ‘‘ βˆ™ = β„Žπ‘–π‘‘π‘  π‘Žπ‘‘ π‘π‘Žπ‘‘ c. The spinner lands on red 5/8 times. How many times can we expect the spinner to land on red if the spinner is spun 96 times? π‘Ÿπ‘’π‘‘ π‘‘π‘–π‘šπ‘’π‘  βˆ™ = π‘Ÿπ‘’π‘‘ π‘‘π‘–π‘šπ‘’π‘  d. A bag holds red, white, and blue marbles. Alison pulls one marble from the bag and records the results. Then she returns the marble to the bag and pulls another. The table shows her results. Color Outcomes Red 22 White 48 Blue 30 Based on the outcomes, enter the number of times Alison can expect to pull a white marble if Allison pulls out a marble 25 times. π‘€β„Žπ‘–π‘‘π‘’ π‘‘π‘Ÿπ‘–π‘Žπ‘™π‘  βˆ™ = π‘€β„Žπ‘–π‘‘π‘’ π‘‘π‘Ÿπ‘–π‘Žπ‘™π‘  e. It rains 2 out of 12 days in March. If the trend continues, how many days will it rain in April. April has 30 days. π‘Ÿπ‘Žπ‘–π‘› π‘‘π‘Žπ‘¦π‘  π‘Ÿπ‘Žπ‘–π‘› π‘‘π‘Žπ‘¦π‘  βˆ™ = π‘€β„Žπ‘–π‘‘π‘’ π‘‘π‘Ÿπ‘–π‘Žπ‘™π‘  Part 2: Law of Large Numbers a. Multiple Choice: The theoretical probability of a coin landing heads up is 1 2 . She flips a fair coin 4 times, but it lands facing up tails up 3 π‘œπ‘’π‘‘ π‘œπ‘“ 4 π‘‘π‘–π‘šπ‘’π‘ . Which statements best explains why the theoretical probability is different than her experimental probability? A. They most likely differ because of the kind of coin is used. B. They most likely differ because the coin had tails on both sides. C. They most likely differ because 1 2 π‘Žπ‘›π‘‘ 3 4 have different denominators. D. They most likely differ because the sample size is too small. b. Multiple Choice: The theoretical probability of rolling a 5 on a 6-sided dice is 1 6 . She rolls the dice 4 times, but it lands on β€œ5” 2 out of 4 times. Which statements best explains why the theoretical probability is different than her experimental probability? A. They most likely differ because 1 6 π‘Žπ‘›π‘‘ 2 4 have different denominators. B. They most likely because of the kind of dice is used. C. They most likely differ because the dice had β€œ5” on 3 sides. D. They most likely differ because the sample size is too small

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