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
Nataly_w [17]
1 year ago
15

A safe has a 4-digit lock code that does not include zero as a digit and no digit is repeated. what is the probability that the

lock code consists of all even digits?
Mathematics
1 answer:
Lelu [443]1 year ago
5 0

Probability that the lock code consists of all even digits is 1344 if we choose the 4 digit lock is randomly from numbers 1,2,3,4,5,6,7,8,9

How can we find the probability that the lock code consists of all even digits?

Total numbers are 1,2,3,4,5,6,7,8,9

And we choose 4 digit code

So probability of choosing 4 numbers from 9 numbers without reapitation is

9p_{4} =\frac{9!}{(9-4)!} \\=\frac{9*8*7*6*5!}{5!} \\=3024

For All numbers are even , probability the last digit of number is even.

So we have 4  even number and if we fix one on last digit and can change other 3 then the probability is

4*8P_{3} =4*\frac{8!}{(8-3)!} \\=4*\frac{8*7*6*5!}{5!} \\=1344

So the total probability of code lock having all even number is 1344

Learn more about the probability is here :

brainly.com/question/28048708

#SPJ4

You might be interested in
Twelve less than a number y is 8? Please help
evablogger [386]

Answer:

The answer is y = 20

Step-by-step explanation:

To find this, we need to turn it into an equation. Then we can follow the order of operations to solve.

y - 12 = 8

y = 20

7 0
3 years ago
Read 2 more answers
A clothing store has a section of jeans on sale. There is a 30% chance of picking a pair with a 30-inch inseam; a 25% chance of
Andrej [43]

The expected value of the inseam length of the jeans is found as

30% of 30+ 25% of 32+ 10% of 34+ 10% of 36 + 10% of 38 + 15% of 40

= \frac{30}{100}\times30 +\frac{25}{100}\times32+ \frac{10}{100}\times34+ \frac{10}{100}\times36 +\frac{10}{100}\times38+ \frac{15}{100}\times40

= 9+8+3.4+3.6+3.8+6=33.8

Hence, the third option 33.8 is the correct expected value.

3 0
3 years ago
Select ALL rational numbers below.
kati45 [8]

Answer:

27/sqrt9, 4^2 are the rational numbers

Step-by-step explanation:

All the other ones do not terminate, so this leaves these as the answers.

hope this helps!

6 0
3 years ago
Jina used a tots of 2 1/6 gallons of gas while driving her car. Each hour she was driving, she used 7/8 gallons of gas. What was
marysya [2.9K]
2 1/6 ÷ 7/8= 2 10/21 h
hope this helps!
8 0
3 years ago
Nine less than the product of 2 and number is equal to 7​
user100 [1]

Answer:

x = 8

Step-by-step explanation:

Step 1: Write an equation

2x - 9 = 7

Step 2: Use the Addition Property of Equality

2x = 16

Step 3: Use the Division Property of Equality

x = 8

5 0
3 years ago
Read 2 more answers
Other questions:
  • A half-marathon 13 miles, how many kilometers is that?
    15·2 answers
  • Round .1325 to thousandths
    10·2 answers
  • 3x^2+7x+2 how to factor​
    13·2 answers
  • Order the numbers from least to greatest.<br> 17.2.3
    11·1 answer
  • Which is bigger 1000 feet or 300 yards?
    7·1 answer
  • On Decemeber 18th, there is a 75% chance that Santa will come to the mall that day and a 55% chance that your best friend will b
    5·1 answer
  • The area of a regular hexagon is 15 cm2. What is the area of a similar hexagon with sides four times as large?
    7·1 answer
  • In the diagram below, OP is circumscribed about quadrilateral ABCD. What is
    6·1 answer
  • In ΔHIJ, i = 99 inches, j = 99 inches and ∠H=9°. Find the length of h, to the nearest inch.
    5·1 answer
  • Marlene is trying to estimate v 42. She uses this table of values:
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!