“Pick three” games are played in thirty-six states. In this game, the player selects a three-digit number, such as 157. Also, the state selects a three-digit winning number.
a. How many different three-digit numbers are there? Explain your reasoning.
b. If the player opts for “straight play,” she wins if her selecting matches the winning number in exact order. For example, if she selected the number 157, she wins only if the winning number is 157. How many different winning straight play numbers are there?
c. Find the probability of winning with straight play.
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