Jeremy is going to roll a fair 6 -sided die 180 times. What is the best prediction for the number of times that Jeremy will roll a number greater than 4 ? Choose 1 answer: (A) Exactly 30 times (B) Close to 30 times but probably not exactly 30 times (c) Exactly 60 times (D) Close to 60 times but probably not exactly 60 times

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Understand Probability: Understand the probability of rolling a number greater than 4 on a 6-sided die. There are two numbers greater than 4 on a 6-sided die: 5 and 6. Therefore, the probability of rolling a number greater than 4 is the number of favorable outcomes (rolling a 5 or 6) divided by the total number of possible outcomes (1 through 6). Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 2 / 6 Probability = 1 / 3Predict Rolls Based on Probability: Use the probability to predict the number of times a number greater than 4 will be rolled in 180 rolls. To find the expected number of times a number greater than 4 will be rolled, multiply the total number of rolls by the probability of rolling a number greater than 4. Expected number of times = Total rolls × Probability Expected number of times = 180 × (1 / 3)Calculate Expected Number: Calculate the expected number of times a number greater than 4 will be rolled. Expected number of times = 180 × (1 / 3) Expected number of times = 180 / 3 Expected number of times = 60Determine Best Prediction: Determine the best prediction based on the expected value. The best prediction for the number of times Jeremy will roll a number greater than 4 is close to the expected value, which is 60 times. However, due to the nature of probability and randomness, it is unlikely to be exactly 60 times. Therefore, the best prediction is that Jeremy will roll a number greater than 4 close to 60 times but probably not exactly 60 times.

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