Utah license plates have the form A00 OAA (A is any letter, O is any number)....

Transcribed Image Text:

Utah license plates have the form A00 OAA (A is any letter, O is any number). The number of possible Utah license plates can be found using basic counting theory. There are 26 options for the first letter, 10 for the second, third, and fourth, and 26 for the fifth and sixth. So, 26x10x10x10x26x26 is 17,576,000 different options. 1. What is the probability of having a Utah license plate with an A as the first character? 2. What is the probability of having a Utah license plate with a Z as the first character? 3. What is the probability of having a Utah license plate with 3 as the first number? Answer as a simplified fraction or a percent. Round to the nearest tenth if necessary. Do not include %. Utah license plates have the form A00 OAA (A is any letter, O is any number). The number of possible Utah license plates can be found using basic counting theory. There are 26 options for the first letter, 10 for the second, third, and fourth, and 26 for the fifth and sixth. So, 26x10x10x10x26x26 is 17,576,000 different options. 1. What is the probability of having a Utah license plate with an A as the first character? 2. What is the probability of having a Utah license plate with a Z as the first character? 3. What is the probability of having a Utah license plate with 3 as the first number? Answer as a simplified fraction or a percent. Round to the nearest tenth if necessary. Do not include %.