Browse · MATH
Printjmc
counting and probability senior
Problem
Melinda will roll two standard six-sided dice and make a two-digit number with the two numbers she rolls. For example, if she rolls a 6 and a 3, she can either form 36 or 63. What is the probability that she will be able to make an integer between 10 and 20, inclusive? Express your answer as a common fraction.
Solution
She can do this if and only if at least one of the dice lands on a 1. The probability neither of the dice is a 1 is . So the probability at least one die is a 1 is .
Final answer
\frac{11}{36}