Part A: What is the Misconception? The following statements represent common misconceptions students have when learning about probability. Identify the misconception and then explain how you might correct the student's thinking. 1. Emily got 3 heads when she tossed a coin 3 times. She says she is more likely to get a tail than a head on the fourth flip. 2. A bag contains 4 red blocks and 5 blue blocks. James says that if he picks a block at random, the probability that the block will be red is . 3. Benjamin says that if he rolls two dice and finds the sum of the numbers, the probability of getting a sum of 6 is 11 4. Margaret says that if she rolls six fair dice simultaneously, she is more likely to get outcomes of 1, 2, 3, 4, 5, 6 than outcomes of 1, 1, 1, 1, 1, 1. 5. Box A has more black balls than Box B. Logan says if she chooses 1 ball from each box, she is more likely to choose a black ball from Box A than from Box B. Box A Box B 6. Macy says that tomorrow it will either rain or not rain. Therefore, the probability that it will rain is 0.5. 7. Caleb rolled a die twelve times without getting a 4. He says the probability of getting a 4 on his next roll is more than