Answer:
Therefore, the probability is P=0.5.
Step-by-step explanation:
We calculate the the probability of getting a license plate that has a repeated letter or digit if you live in a state in which license plates have two letters followed by four numerals.
We will calculate the required probability through complement. First, we find the probability that a license plate has all different the letters and all different the numbers.
We calculate the number of possible combinations:
[tex]26^2\cdot 10^4=6760000[/tex]
We calculate the number of favorable combinations:
[tex]26\cdot 25\cdot 10\cdot 9 \cdot 8\cdot 7=3276000[/tex]
Therefore, the probability is
[tex]P_1=\frac{3276000}{6760000}\\\\P_1=0.48[/tex]
Now, we get
[tex]P=1-P_1\\\\P=1-0.48\\\\P=0.52\\[/tex]
Therefore, the probability is P=0.5.
