A person playing a game of chance has a 0.25 probability of winning. If the person plays the game 20 times and wins half of that number of times, what is the difference between the theoretical probability and the experimental probability of that person winning ?

Answers

Answer 1

Answer: The theoretical probability is what is expected to happen which is 0.25 or 25%. The experimental probability is the actual or observed during the play. Since the person won half of 20 games, the experimental probability is 10/20 or 50%.

The difference between the theoretical and experimental probability is then

50%-25%=25% or 0.25

We note that the experimental probability is higher than the theoretical. However, as more games are played, the fraction of games won becomes closer and closer to the theoretical probability.

Related Questions

Micheal is building an iron man from junk in his dad's yard: he starts with a prototype of 1.8m high:he wants to make it 120m high.How large does he need the little finger if it is 6cm long on the model?Please write the steps..thnx:)
If you work 8 hours per day, how long would it take you to build 10 doghouses?
Your family went out to dinner at Applebee's and left the waiter an 18% tip. If the total before the tip for the dinner was $47.98 what should be paid to the waitress as a tip
Round 82290 times 240
What is the measure of mop

ava is 23 cm taller than olivia, and olivia is half the height of lucas. if lucas is 1.78 m tall, how tall are ava and olivia? express thier heights in cm

Answers

Thus, the height of ava and olivia is $\boxed{112\text{ cm}\text{ and }89\text{ cm}}$ respectively.

Further explanation:

It is given that height of ava is $23\text{ centimeter}$ more than the height than the height of olivia and the height of olivia is half of the height of lucas.

Consider the height of ava, olivia and lucas as $x,y$ and $z$ .

The height of the lucas is given as $1.78\text{ meter}$ .

This implies that the value of $z$ is as follows:

$\boxed{z=1.78}$

Since, the height of lucas is given in meter so, it is necessary to convert the unit into centimeter.

The height of lucas is converted into centimeter unit as follows:

$\begin{aligned}1\text{ meter}&\rightarrow 100\text{ centimeter}\n1.78\text{ meter}&\rightarrow 1.78*100=178\text{ centimeter}\end{aligned}$

Since, the height of olivia is half of the height of lucas so, the equation formed is as follows:

$\boxed{y=(z)/(2)}$

Substitute $178$ for the $z$ in the above equation.

$\begin{aligned}y&=(178)/(2)\n&=89\end{aligned}$

Therefore, the value of $y$ is $89$ .

This implies that the height of olivia is $89\text{ centimeter}$ .

It is given that height of ava is $23\text{ centimeter}$ more than the height than the height of olivia so, the equation formed is as follows:

$\boxed{x=23+y}$

Substitute $89$ for $y$ in the above equation.

$\begin{aligned}x&=23+89\n&=112\end{aligned}$

This implies that the height of ava is $112\text{ centimeters}$ .

Thus, the height of ava and olivia is $\boxed{112\text{ cm}\text{ and }89\text{ cm}}$ respectively.

Learn more:

1. Learn more about problem on coordinate of the graph brainly.com/question/1286775

2. Learn more about problem on equations brainly.com/question/1473992

3. Learn more about problem on triangles brainly.com/question/7437053

Answer details:

Grade: Middle school

Subject: Mathematics

Topic: Problems on Ages

Keywords: Age, height, ava, olivia, lucas, tall, meter, centimeter, unit, conversion, 1.78, value, half of height, taller than olivia, ava is 23 cm.

First, we must find the height of olivia.

1m = 100cm (given, metric system)

178/2 = 89cm (olivia is 89cm tall)

Ava is 23cm taller than Olivia, so 89 + 23 would be our next step.

89 + 23 = 112cm tall

Olivia: 89cm
Ava: 112cm

In these lines from “Elegy Written in a Country Churchyard,” which aspects are rooted in the period in which the poem was written, and which would apply to life in any period?A.The details about farming are rooted in the period, while the theme that hard work brings satisfaction can be applied to any period.
B. People clearing land for farming is rooted in the period, while enjoying one’s time off by playing team sports applies to any period.
C. The idea of people finding joy in their hard work is rooted in the period, but such methods of farming can be applied to any time.
D. Utilizing a team to plow a field is rooted in the period, but using sickles is a modern concept.

Answers

The aspects that are rooted in the period in which the poem was written, and which would apply to life in any period is 'The idea of people finding joy in their hard work is rooted in the period, but such methods of farming can be applied to any time.' The answer is letter C.

Answer:

Step-by-step explanation:

ABOVE

Solve 19.9 = 9y - 8.

Answers

19.9=9y-8
+8
so it is
27.9=9y
÷9y
so your answer is
y=3.1

if solving for y, the answer would be y=3.1

Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table.In which step did Tran first make an error?

Step 1
Step 2
Step 3
Step 4

Answers

The following steps of solving for the roots of 2x² - 4x -3 = 0 were retrieved from another source Step 1 2x² - 4x = 3 Step 2 2(x² - 2x) = 3 Step 3 2(x² - 2x + 1) = 3 + 1 Step 4 2(x - 1)² = 4 From this, we can see that on Step 3, Tran made a mistake of adding 1 to 3. As we can see, 2(x² - 2x + 1) = 2x² - 4x + 2. That means, instead of adding 1, it should have been 2. Therefore, the step that Tran first made an error is Step 3.

The solution to the quadratic equation 2x² - 4x - 3 = 0 is given as x = 1 ± √5/2

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the quadratic equation:

2x² - 4x - 3 = 0

Using completing the square, add 3 to both sides:

2x² - 4x - 3 + 3 = 0 + 3

2x² - 4x = 3

Divide through by the coefficient of x²:

x² - 2x = 3/2

Add to both sides the square of half the coeficient of x:

x² - 2x + 1 = 3/2 + 1

(x - 1)² = 5/2

x = 1 ± √5/2

The solution to the quadratic equation 2x² - 4x - 3 = 0 is given as x = 1 ± √5/2

Find out more on equation at: brainly.com/question/2972832

#SPJ5

Complementary angles are two angles that have measures with a sum of 90°. Angles P and Q are complementary and the measure of angle P is 6° more than twice the measure of angle Q.Write a system of equations and use substitution to find the measures of angles P and Q.

Input Field 1 of 1

Answers

Answer:

P = 62° Q = 28°

Step-by-step explanation:

Let x = measure of angle Q

then y = measure of angle P

Now x + y = 90 and 2x + 6 = y

Substituting 2x + 6 from the second equation in for y in the first equation, we get x + 2x + 6 = 90 since the two angles are complementary.

3x + 6 = 90

3x = 84

x = 28

y = 2(28) + 6 = 56 + 6 = 62

Check: 28 + 62 = 90

Final answer:

To find the measures of complementary angles P and Q, we set up a system of equations based on the problem's information, solve for one variable, then substitute that variable's value into the other equation. After solving, we find that the measure of angle P is 62°, and the measure of angle Q is 28°.

Explanation:

Let's denote the measure of angle Q as 'q'. Therefore, the measure of angle P can be expressed as '2q + 6'. Now, we can set up two equations based on the information given:

P + Q = 90°, or in terms of 'q', (2q + 6) + q = 90°
P = 2Q + 6°, or in terms of 'q', (2q + 6) = 2q + 6

Solving the first equation gives us 3q + 6 = 90. Subtract 6 from each side of the equation to get 3q = 84. Divide each side by 3 to solve for 'q', and we find that q = 28°. Substituting q = 28° into equation 2, we find that P = 2*28 + 6 = 62°. So, angle P is 62° and angle Q is 28°.

Learn more about Substitution Method here:

brainly.com/question/26094713

#SPJ3

Evaluate the expression when a=6 and y= -7

Answers

Well, there are no problems, so we can't help you.

Answer:

a=6 and y=-7, thats all bruh, what we supposed to solve like fr xD

Other Questions

Andrew stays in shape by running various distances throughout the week. On monday he ran 3 miles on tuesday he ran 4.6 on thrusday 6.76 and on saturday he runs 4.8 miles. What is the mean distance that andrew runs per day

Letters x, y, and z are angle measures. Which equations would guarantee that lines p and q are parallel? Check all that applyx = z x + y = 180°x + z = 180°x = yy + z = 180

Round 0.01123 to the nearest hundredth?

What is the difference betweeen the cost of 300g of potatoes and 300g of carrots