Answer: 0.01.
Step-by-step explanation:
Given: A computer randomly generates a 5-digit string using numbers between 0 and 9 inclusive.
i.e. each place in 5 digit number has 10 choices.
Total ways to make such a number = [tex]10^5=100000[/tex].
If the first two digits in the string are a 4 and a 2, in that order, then the number of ays to make this kind of number = 1 x 1 x 10 x 10 x 10 = 1000 [as 4 and 2 can be put on first and second place in 1 way ]
Now, the probability that the first two digits in the string are a 4 and a 2 , in that order = [tex]\dfrac{1000}{100000}=\dfrac{1}{100}=0.01[/tex]
Hence, the probability that the first two digits in the string are a 4 and a 2 , in that order = 0.01.
