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
tensa zangetsu [6.8K]
2 years ago
10

A product code consists of four letters followed by five digits. Only the letters X, Y, and Z can be used ( and any of the digit

s 0,1,2,3,4,5,6,7,8,9 can be used). For example, XYXZ31513, ZYZZ90654, YYYY44444 are possible product codes.
If one such product code is chosen at random, what is the probability it includes the letter Y?
Mathematics
1 answer:
Morgarella [4.7K]2 years ago
7 0

Answer:

\frac{49}{81}, 60.494%

Step-by-step explanation:

I am going to try to tackle this. I might miss a step as I am currently taking discrete mathematics.

We want to find all the possibilities with 1y, 2ys, 3ys, and 4ys, out of all total possibilities.

_ _ _ _   _ _ _ _ _

For the letters, in each spot, we have 3 choices. For the numbers, we have 10 choices in each spot

so

3*3*3*3 * 10*10*10*10*10

= 81*100000

= 8100000

The number of Y's will never affect the number of permutations of the numbers.

So:

For 1 y, we have

Y _ _ _ * 10*10*10*10*10

But we also have

_ Y _ _

_ _ Y _

and

_ _ _ Y

So we can multiply the number we get in one calculation by 4

4 *

Y _ _ _ * 10*10*10*10*10

2*2*2 * 10*10*10*10*10

= 800000 * 4  = 3200000

For 2 y's, we have

YY _ _

_ YY _

__ YY

3*

YY 2*2 * 10^5

4 * 100000

400000 * 3 = 1200000

For 3 y's, we have

YYY _

_ YYY

2 *

YYY 2 * 10^5

200000 * 2

= 400000

For 4 y's, we have

YYYY * 10^5

100000

Now we can add them all up and divide it by our original number 8100000

\frac{100000 + 400000 + 1200000 + 3200000}{8100000} = \frac{49}{81}

You might be interested in
Zearn m3 l4 math problem please help me
ZanzabumX [31]

Answer:

diameter 5

circumference 15.7

Step-by-step explanation:

Could you mark brainliest please?

3 0
2 years ago
Read 2 more answers
Given the sequence: 8, 4, 0, -4,-8, -12, ...
Zepler [3.9K]

Answer:

It is subtracting 4 each time, if it were to go on it would go -16 -20 -24 -28 -32 -36 -40 -44 -48 -52 etc

Step-by-step explanation:

3 0
3 years ago
What is the best way to gather information for each of the scenarios?
nika2105 [10]

(a) The team captain wants to know what his teammates eats before a match

Team captain know by taking a survey of teammates

(b) The team captain wants to know who can score most goals against the best player

This can be known by observation of games. so its observational study

(c) The team captain wants to know how praising the affects the teammates performance.

This can be known by experiment

(d) The team captain wants to know what other sports teammates play

This can be known by observation of games. so its observational study


3 0
2 years ago
Read 2 more answers
Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. Together they
leva [86]
Now this may or may not be work I’m 99.9 percent sure it’s right but if not sorry

8 0
2 years ago
Margot purchases book tees from the warehouse and marks up those prices by 20% for retail sale when tease go on sold for more th
rusak2 [61]
No she's not correct,,,
If the teas are $50 to start with 20% up from $50 is $62.50
if she counts down 20% down from that it wouldn't be $50 but be $40.
So she would not break even.

6 0
3 years ago
Other questions:
  • Please help ASAP (multiple choice)
    13·1 answer
  • Bye thanks for the help got fam issues
    9·1 answer
  • A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y=-0.06x^2+9.6x
    5·1 answer
  • FH and IK are parallel lines.
    5·1 answer
  • 11 tenths as a percent
    15·2 answers
  • Which of the following relations shows a function?
    15·1 answer
  • Convert into decimals (use your calculator): a) 6/38 b) 45/55 c) 4/28 d) 35/28 e) 1030/2030
    15·1 answer
  • A certain cake recipe calls for 2 7/8 cups of sugar to make one cake, If you want to make four cakes, how many cups of sugar, do
    7·1 answer
  • Helppp this is due in an hour!!​
    11·1 answer
  • Simplify 24.4 / 0.002​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!