bailey uses results from the experiment to calculate the probability of each color of block being chosen from a bucket.He says p (red)=35%, p (blue)45%,p (yellow)20.jarod uses theoretical probability because he knows how many of each color block is in the bucket. he says p (red)=45%,p (blue)=35%,and p (yellow)=20%.on Baileys turn he predicts blue.On jared's turn he predicts red Neither boy makes the right prediction.Did the boys make reasonable predictions base on their own probabilities?explain also did they do something wrong with their calculations?Explain
Based on their own probabilities, Bailey predicted that the probability of choosing a blue block is 45%, while Jared predicted a probability of 45% for choosing a red block. However, both boys' predictions were incorrect.
Bailey's prediction of blue with a probability of 45% was reasonable according to his calculations. But the fact that a different outcome occurred does not mean that his calculation was wrong. Probability represents the likelihood of an event occurring, and there is always a chance that the actual outcome will differ from the predicted probabilities.
Similarly, Jared's prediction of red with a probability of 45% was reasonable based on his calculations. Again, the fact that a different outcome occurred does not necessarily mean that his calculation was incorrect.
However, it is difficult to assess the accuracy of their predictions without knowing the actual number of each color block in the bucket. It is possible that their calculations were not accurate due to incomplete or incorrect information about the bucket's contents. If their calculations were based on inaccurate data, it would affect the reliability of their predictions.
Overall, the boys' predictions may have been reasonable based on their own calculations, but without knowing the exact details about the number of blocks of each color in the bucket, it is challenging to assess the accuracy of their predictions.
Based on their calculations, both Bailey and Jared made reasonable predictions based on their own probabilities. However, neither boy made the correct prediction, suggesting that there may have been some errors in their calculations or a misunderstanding of the concept of probability.
Bailey's prediction was based on experimental probability, which is calculated by dividing the number of times an event occurred (in this case, choosing a blue block) by the total number of trials or experiments. Bailey assumed that the probability of choosing a blue block is 45%, based on his experimental results.
Jared, on the other hand, used theoretical probability, which is based on the known number of each color block in the bucket. He correctly calculated the probability of red and yellow blocks being chosen, but made an error in calculating the probability of a blue block as 35% instead of 45%.
It is important to note that Bailey's experimental probability may not accurately reflect the true probabilities, especially if the number of trials or experiments was small. Additionally, Jared's theoretical probability could be accurate if the known distribution of color blocks in the bucket is correct, but he made a calculation mistake in the probability of blue blocks.
Therefore, the boys' predictions were reasonable based on their calculations, but the discrepancies between their predictions and the actual outcome suggest that their calculations may have been flawed or incomplete. To improve their predictions, they should review their calculations and ensure accuracy, as well as consider increasing the number of trials or experiments for more reliable experimental probability.