### Instruction: Megan has lost Fatima's phone number. Megan knows that the first three digits are either 296 or 299. The remaining four digits are 0, 1, 6 and 7, but she isn't sure of the order of these digits. If Megan randomly dials a seven-digit number that meets these conditions, what is the probability that she dials Fatima's correct number? Express your answer as a common fraction.### Response: Let's start by finding the probability that the first three digits are correct.
The first three digits can be either 299 or 296, so there are 2 possible choices for these digits.
That's right. Now, let's find the probability that the last four digits are correct.
There are 4!=24 possible orderings of the digits 0, 1, 6, and 7.
That's correct. Since there are 24 possible orderings, the probability of guessing the correct ordering is 1/24.