Consider the experiment of rolling a dice. Find the probability of getting an even number 3) and a number that is multiple of 3.
Answers
The required probability of rolling a dice and getting an even number and a number that is a multiple of 3 is 1/6.
To find the probability of rolling a dice and getting an even number (3, 4, or 6) and a number that is a multiple of 3 (3 or 6), we need to consider the outcomes that satisfy both conditions.
There are three even numbers on a standard six-sided dice: 2, 4, and 6. Out of these three even numbers, two of them are multiples of 3 (3 and 6).
The probability of rolling an even number is 3/6 (3 even numbers out of 6 possible outcomes) or simply 1/2.
The probability of rolling a number that is a multiple of 3 is 2/6 (2 multiples of 3 out of 6 possible outcomes) or 1/3.
Now, to find the probability of both events occurring together (rolling an even number and a number that is a multiple of 3), we multiply the individual probabilities:
Probability of getting an even number AND a number that is a multiple of 3 = (1/2) * (1/3) = 1/6.
So, the probability of rolling a dice and getting an even number and a number that is a multiple of 3 is 1/6.
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Related Questions
Which of the following is false regarding number sets
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A scout troop 32 markers along a hiking trail. Each Microway is 9 ounces. On the scale to begin the hike, they put the markers in the backpack. If the empty backpack weighed 3 pounds, how much did the backpack weigh with all the markers in it?
The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 circuits is tested, revealing 12 defectives.(a) Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool. Round the answers to 4 decimal places.< p\l>(b) Calculate a 95% upper confidence bound on the fraction of defective circuits. Round the answer to 4 decimal places
1 2 2
0 1 −3
0 0 1
4
9
−2
Which of the following system of equations corresponds to the given​ matrix?
A.
x plus 2 y plus 2 zx+2y+2z
equals=44
y minus 3 zy−3z
equals=99
z
equals=minus−22
B.
2 x plus 2 y2x+2y
equals=44
negative 3 y−3y
equals=99
z
equals=minus−22
C.
2 x plus 2 y plus 4 z2x+2y+4z
equals=1
negative 3 y plus 9 z−3y+9z
equals=1
minus−z
equals=1
D.
x
equals=44
2 x plus y2x+y
equals=99
2 x minus 3 y plus z2x−3y+z
equals=minus−22
Select the correct choice below and fill in any answer boxes in your choice.
A.
The solution set is
StartSet nothing EndSet{}.
​(Type an ordered​ triple.)
B.
The solution is the empty set.
Answers
Answer: The system of equations is:
x + 2y + 2 = 4
y - 3z = 9
z = - 2
The solution is: x = -22; y = 15; z = -2;
Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.
The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a RowEchelonForm, which satisfies the following conditions:
- There is a row of all zeros at the bottom of the matrix;
- The first non-zero element of any row is 1, which called leading role;
- The leading row of the first row is to the right of the leading role of the previous row;
For this question, the matrix is a Row Echelon Form and is written as:
or in system form:
x + 2y + 2z = 4
y + 3z = 9
z = -2
Now, to determine the variables:
z = -2
y + 3(-2) = 9
y = 15
x + 30 - 4 = 4
x = - 22
The solution is (-22,15,-2).
Answers
Given:
Principal, P = $5000
Interest rate, R = 8% = 0.08
Time, T = 2 years
Let's fnd the toatal amount of interest.
To find the interest, apply the simle interest formula:
Hence, we have:
Therefore, the total amount of interest is $800.
ANSWER:
$800
Answers
Question:
75is whatpercent of150
Explanation:
PercentageCalculator:75is whatpercentof 150=50
Answer:
50
Answer:
75 is 50 percent of 150.
Step-by-step explanation:
This is a pretty simple concept. First of all for this question, you should have noticed that 75 is half of 150. 50% is equal to 1/2.
There are a couple of methods you could use to solve this problem, if you are using a calculator, a simple way to solve percentage problems is to do 75 divided by 150 (in this case) which gives you 0.50.
If you do not have a calculator and you have to do this on paper, you need to do the classic proportion method. Make two fractions, 75 over 150, and x over 100. (x is what is used to represent an unkown amount.)
We are using over 100 because that is what a percent represents: an amount that is a fraction of 100. now you need to cross multiply. That would be 75 x 100. That equals 7,500. Now cross multiply the other way. That is 150x or represent 150 times x. Now solve the equation 150x = 7,500. To solve this you need to isolate the variable, x by dividing the 150 multiplying the x. That is the coefficient. the attached number next to it. After you do that, you need to divided the other side of the equation by 150. 7,500 divided by 150 equals 50.
After that you will find that the equation shows the value x = 50. You have now found the value of x.
I hope this helps :)
Answers
Answer:
4
Step-by-step explanation:
Answers
Answer:
no solutions
Step-by-step explanation:
x+y=2
2x+2y=8
Multiply the first equation by -2
-2x -2y = -4
Add this to the second equation
-2x -2y = -4
2x+2y=8
--------------------
0x+0y = 4
0=4
This is never true
so there are no solutions
B: 3
C: 8
D: 12
Answers
Answer:
3
Step-by-step explanation:
I hope I was of assistance! #SpreadTheLove <3