I am currently studying Statistical Inference class on Coursera. In one of the assignments, the following question comes up.
| Suppose you rolled the fair die twice. What is the probability of rolling the same number two times in a row? 1: 2/6 2: 1/36 3: 0 4: 1/6 Selection: 2 | You're close...I can feel it! Try it again. | Since we don't care what the outcome of the first roll is, its probability is 1. The second roll of the dice has to match the outcome of the first, so that has a probability of 1/6. The probability of both events occurring is 1 * 1/6.
I do not understand this bit. I understand that the two die rolls are independent events and their probabilities can be multiplied, so the outcome should be 1/36.
Can you please explain, why I am wrong?