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
Use the drawing tool(s) to form the correct answer on the provided graph.
Veseljchak [2.6K]
In the attached, the dotted red graph is g(x). The solid black graph is the function shifted 5 units left.

6 0
2 years ago
Read 2 more answers
The average time a subscriber spends reading The Wall Street Journal is 49 minutes (The Wall Street Journal Subscriber Study). A
erica [24]

Answer:

P(X>60)=P(\frac{X-\mu}{\sigma}>\frac{60-\mu}{\sigma})=P(Z>\frac{60-49}{16})=P(z>0.6875)

And we can find the probability with the complement rule and the normal standard distirbution and we got:

P(z>0.6875)=1-P(z

Step-by-step explanation:

Let X the random variable that represent the time spent reading of a population, and for this case we know the distribution for X is given by:

X \sim N(49,16)  

Where \mu=49 and \sigma=16

We are interested on this probability

P(X>60)

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

Using this formula we got:

P(X>60)=P(\frac{X-\mu}{\sigma}>\frac{60-\mu}{\sigma})=P(Z>\frac{60-49}{16})=P(z>0.6875)

And we can find the probability with the complement rule and the normal standard distirbution and we got:

P(z>0.6875)=1-P(z

5 0
3 years ago
What is your estimate for the number of airline flights in a year?
Firdavs [7]
The answer is between 45,000,000-65,000,000
8 0
3 years ago
You need gas for your car, and just as you are approaching where you normally get gas, the radio station announces that the Chea
schepotkina [342]

Answer: Yes

Step-by-step explanation:

Given that:

Distance from present location to CheapGas = 4 miles

Price of gas at CheapGas is $0.37 cheaper

Hence, the decision to make a U-turn back to CheapGas or continue on intended destination will rely on two factors ;

1) The number of gallons of gas to purchase

2) The cost of gas required to return to cheap gas.

If a substantial amount of gas is to be purchased, may be 50, 100 or more gallons, the amount saved by making a turn back to cheapGas and purchase gas at $0.37 cheaper per gallon.

8 0
2 years ago
How do you write one and twelve hundredths in 2 other forms
Aleonysh [2.5K]
1.12 (Decimal)
1 12/100 -or- 3/25 (Fractions)
4 0
3 years ago
Read 2 more answers
Other questions:
  • Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the \$j$jdollar sign, j fare a
    5·3 answers
  • Triangle MNP is graphed on a coordinate grid with vertices at M (−3, −6), N (0, 3) and P (6, −3). Triangle MNP is dilated by a s
    9·1 answer
  • The quotient of of a number and 2 is equal to the difference between 6 and the number . which equation represents this relations
    5·1 answer
  • An animal shelter has 14 puppies. If the puppies are 28% of the total dog and cat population, how many dogs and cats are in the
    10·1 answer
  • What is the value of the expression 10 + (fraction 1 over 2)4 ⋅ 48?
    5·1 answer
  • Which of the following could represent consecutive even integers?
    11·2 answers
  • Find the volume of the following figure.
    15·1 answer
  • Alexia makes 5% commission on $40,000 in sales. David makes 10% commission on $300,000 in sales. Who makes more money?​
    6·2 answers
  • NEED WITHIN 50MIUTES IF NOT ANSWERED IN 50 MINUTES THEN I WILL NOT NEED ANSWER ANYMORE!
    6·1 answer
  • Please hurry I’m being timed!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!