Problem 142

Problem 142

A student asks, “What’s wrong with the argument that the probability of rolling a double 6 in two rolls of a die is \frac{1}{3}because \frac{1}{6} + \frac{1}{6} = \frac{1}{3}?”

Write an explanation of your understanding of the student’s misconception.

 

Solution

We can’t add the probabilities, we need to multiply them to get the resultant, if we rolled more than 6 times then we will get probability more than 1 which is not possible.

 

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