Probability license Arrangements

posted by .

All license plates have a letter, two characters (which are either a number or a letter) Followed by two numbers. The letter choice for the first character can only be either an E,W,P,R,A,F OR U. How many license plates can be made? What is the probability of having one with a vowel?

  • Probability license Arrangements -

    so a possible valid choice could be R 2S 56

    All cases = 7 x 36 x 36 x 10 x 10907200
    Assuming 5 vowels
    number of cases without a vowel
    = 4 x 31 x 31 x 10 x 10 = 3844400

    prob(of having a vowel) = 1 - 384400/1090700
    = appr .576

    check my arithmetic

  • Probability license Arrangements -

    Found a typo .... forgot the = sign

    should be :

    All cases = 7 x 36 x 36 x 10 x 10 = 907200

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    A license plate is to consist of two letters followed by three digits. How many different license plates are possible if the first letter must be a vowel, and repetition of letters is not permitted, but repetition of digits is permitted?
  2. Math

    A license plate is to consist of two letters followed by three digits. How many different license plates are possible if the first letter must be a vowel, and repetition of letters is not permitted, but repetition of digits is permitted?
  3. math

    1. There are 13 horses running in a race. In how many different ways can the horses place first, second, or third?
  4. math

    It was noticed that some cars have license plates with 3 letters followed by three numbers while other license plates have 3 numbers followed by 3 numbers if neither letters nor numbers can repeat what is the probability of getting …
  5. MATH

    A bike club wants to make license plates for bikes. Each license plate has a letter followed by a digit. How many different license plates can be made?
  6. math

    A car license plate consists of 6 characters. The first 2 characters are any letter. The last 4 characters are odd numbers from 1 to 9 inclusive. How many different license plates are possible?
  7. Math

    A state creates license plates that each contain two letters followed by three digits. The first letter must be a vowel ( A, E, I, O, U ) and duplicate letters and digits are allowed. How many different license plates are possible?
  8. Computers

    In Python - A state creates license plates, each containing two letters followed by three digits. The first letter must be a vowel (A,E,I,O,U), and duplicate letters and digits are allowed. The second letter can be any letter of the …
  9. College probability and statistics

    The current license plates in New York State consist of three letters followed by four digits. ( i ) How many possible distinct license plates can there be?
  10. Math

    A license plate manufacturer is punching plates with pattern: L#L-##LL where L represents a letter and a # represents a digit from 0 through 9.If a letter can be any letter from A to Z except,O, how many different license plates are …

More Similar Questions