1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marshall27 [118]
3 years ago
10

Suppose each laptop of a certain type is assigned a series number, which consists of a sequenceof eight symbols: number, letter,

letter, letter, number, number, number, number, where aletter is any one of 26 letters and a number is one among 0, 1,. . ., 9. Assume that all series numbers are equally likely.
(a) What is the probability that all symbols are different if one laptop is picked at random with equal probability?
(b) What is the probability that all symbols are different and the first number is the largest among the numbers?
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
5 0

Answer:

Step-by-step explanation:

There are 5numbers and 3 letters. Each number can be one among the 10 possible.

Each letter is 1 among the 26 available.

a)The number of possible unique serial numbers are

10^5x 26³

The number of 5 number combinations each different (order important) is 5!(10/5)= 30240

The number of 3 letter combinations each different (order important) is 3!(26/3)=15600

The required probability (that all symbols are different if one laptop is picked at random with equal probability) is

15600x3240/ 10^5x 26³=0.2684

b) The first letter must be at least 4 to be largest among the 5 numbers. So the first letter can be one of . 4,5,6,7,8,9..

The number of 5 number combinations each different and starting with 4 (order important) is .

4!=24

The number of 5 number combinations each different and starting with 5 (order important) is .

4!(5/4)= 120

The number of 5 number combinations each different and starting with 6 (order important) is .

4!(6/4)= 360

The number of 5 number combinations each different and starting with 7 (order important) is .

4!(7/4)= 840

The number of 5 number combinations each different and starting with 8 (order important) is

4!(8/4)= 1680

The number of 5 number combinations each different and starting with 9 (order important) is .

4!(9/4)= 3024

Thus, there are

The required probability ( that all symbols are different and the first number is the largest among the numbers) is

15600* 6040/10^5x 26³= 0.0537

You might be interested in
Simplify: (7x^2 − 8x − 4) + (−2x^2 + 3x + 5) + (5x^2 − 10x − 8)
kramer
Step 1. Simplify
7x^2 - 8x - 4 - 2x^2 + 3x + 5 + 5x^2 - 10x - 8
Step 2. Collect like terms
(7x^2 - 2x^2 + 5x^2) + (-8x + 3x - 10x) + (-4 + 5 - 8)
Step 3. Simplify 

10x^2 - 15x - 7
5 0
3 years ago
PLS HELP WILL MARK BRAINLIEST
gavmur [86]

Answer:

1. Rolling a number less than 5

         The numbers on a standard dice are 1, 2, 3, 4, 5, and 6. Therefore it is possible to roll a 6, but it is much more likely to be 1-5, simply because there are more of them.

2. Rolling a 2

          Again, it is more likely that the result will be one of the other 5 numbers. But obviously a 2 is still an option, so it's not impossible.

3. Rolling a number less than 10

          Every option is less than 10 so it is certain.

4 0
3 years ago
Which table represents y as a function of x?​
tankabanditka [31]

Answer:the top right

Step-by-step explanation:

it only has one y per x

7 0
3 years ago
Read 2 more answers
Can someone double check me???
kvv77 [185]
You’re correct I think
8 0
3 years ago
Katie is selling lemonade for $1.50 per cup. She decides to put them on sale for $ 0.90. What percent discount did she give on h
salantis [7]
I think the answer is 67% bro
7 0
3 years ago
Other questions:
  • What is the approximate measure of angle K? Use the law of sines to find the answer.
    11·2 answers
  • Choose the true statement about the graph of 3x ≥ 6.. closed circle on 2 and all numbers to the right shaded. closed circle on 2
    9·2 answers
  • What is negative 3 plus negative 11 equals 5 answer
    6·2 answers
  • A bag of 4 cookies cost £1.80 how much will 1cost
    7·2 answers
  • Answer the question in the picture
    10·1 answer
  • Please help answer this
    6·2 answers
  • What percent of teenage boys masturbate before reaching 18
    7·2 answers
  • What is the area of a circle with a radius of 5
    13·2 answers
  • Please tell me the answer and explain your work
    14·1 answer
  • I need help with questions 9
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!