Liz flips a coin 50 times. The coin lands heads 20 times and tails up 30 times. complete each statement. ### Understanding Probability: An Educational Exercise#### Coin Flip ExperimentLiz flips a coin 50 times. The coin lands heads up 20 times and tails up 30 times. Complete each statement:1. **Theoretical Probability of Heads:** \[ \text{The theoretical probability of the coin landing heads up is } \boxed{\frac{1}{2}}\text{.} \]2. **Experimental Probability of Heads:** \[ \text{Based on Liz’s results, the experimental probability of the coin landing heads up is } \boxed{\frac{20}{50}}\text{ or } \boxed{0.4}\text{.} \]3. **Comparing Theoretical and Experimental Probability:** \[ \text{The theoretical probability is } \boxed{\text{greater}} \text{ than the experimental probability in this experiment.} \]#### Spinner ExperimentJen spins a spinner 25 times and has an experimental probability of the spinner landing on 3 to be 4%. The theoretical probability of the spinner landing on 3 is 4% or 25%. Why might there be a significant difference between the theoretical and experimental probabilities?Note: Both experiments reflect the difference between theoretical and experimental probabilities, emphasizing the role of sample size and chance in experimental outcomes.

Answered: Image /qna-images/answer/37f7382f-b109-478d-aae4-311c283a0d05.jpg

Le ips a coin 50 times. The coin lands heads up Based on Liz's results, the experimental probability The theoretical probability of the coin landing 20 tones and talls up 30 times. Complete each 20 tunes and talls up 30 times. Complete a u statement. heads up is of the coin landing heads up is The theoretical probability is than he experimental probability in this experiment.

Le ips a coin 50 times. The coin lands heads up Based on Liz's results, the experimental probability The theoretical probability of the coin landing 20 tones and talls up 30 times. Complete each 20 tunes and talls up 30 times. Complete a u statement. heads up is of the coin landing heads up is The theoretical probability is than he experimental probability in this experiment.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section: Chapter Questions

Problem 2P: Family Planning A intend to have two children. What is tie probability that they will have child of...

See similar textbooks

Related questions

Q: Use inductive reasoning to decide whether each statement is correct. Pick any counting number.…

A: let the counting number be n. Step 1: Multiply the number by 8: 8n Step 2: Subtract 4 from the…

Q: Cardo has six different jackets. If he cannot wear the same jacket on tro consecutive days, how many…

A: If we have n objects that have to be assigned to r slots then the number of ways to do it will…

Q: ive typing answer with explanation and conclusion Viola makes glit baskets for Valentine's Day: She…

Q: You play a game where you throw a pair of connected balls at a structure, as shown at the right.…

A: Given that if pair of balls wraps around red bar you will earn 10 points. and when the pair of balls…

Q: I'd like u to answer a-d

Q: 2/HI ? _J K 12/38° 36° 12

Q: Describe the pattern above. Then, calculate the number of individual unit cubes in a Rubik’s cube…

A: A rubik's cube is a cube with 6 faces. The formula for the cubes can be used to calculate the number…

Q: You use 20 beads for every bracelet you make write an expression for how many beads you need to buy?

A: We have to use 20 beads for every bracelet you make write an expression for how many beads.

Q: Count the number of ways 5 bottles and 6 cups can be lined up in a row if a bottle (a cup) should…

A: According to the given condition, let 1 bottle and 1 cup is a pair. Then, 1 cup is left.

Q: Matthew had $5 saved. He earned $9 by completing chores. He spent $20 on a vldeo game. How much…

A: The answer is found in step-2

Q: Aira's average score on her six tests is 98 points. The score range for each test is 0 points to 100…

Q: Fill in the blanks: Consider the numbers 2, 4, 5, 7 and 8. If repetition is not allowed, how many…

Q: Read the table and answer the question. Favorite Game Soccer Basketball Total Вoys 34 106 Girls 28…

Q: Identify a pattern in each list of numbers. Then use this pattern to find the next number. -3, 12,…

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Liz flips a coin 50 times. The coin lands heads 20 times and tails up 30 times. complete each statement.

### Understanding Probability: An Educational Exercise

#### Coin Flip Experiment

Liz flips a coin 50 times. The coin lands heads up 20 times and tails up 30 times. Complete each statement:

1. **Theoretical Probability of Heads:**
\[
\text{The theoretical probability of the coin landing heads up is } \boxed{\frac{1}{2}}\text{.}
\]

2. **Experimental Probability of Heads:**
\[
\text{Based on Liz’s results, the experimental probability of the coin landing heads up is } \boxed{\frac{20}{50}}\text{ or } \boxed{0.4}\text{.}
\]

3. **Comparing Theoretical and Experimental Probability:**
\[
\text{The theoretical probability is } \boxed{\text{greater}} \text{ than the experimental probability in this experiment.}
\]

#### Spinner Experiment

Jen spins a spinner 25 times and has an experimental probability of the spinner landing on 3 to be 4%. The theoretical probability of the spinner landing on 3 is 4% or 25%. Why might there be a significant difference between the theoretical and experimental probabilities?

Note: Both experiments reflect the difference between theoretical and experimental probabilities, emphasizing the role of sample size and chance in experimental outcomes.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Introduction

Given

Calculation

Calculation

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Linear Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Snake Eyes What ¡s the probability of rolling snake eyes ("double ones") three times in a row?
Dividing a Jackpot A game between two pIayers consists of tossing coin. Player A gets a point if the coin shows heads, and player B gets a point if it shows tails. The first player to get six points wins an $8000 jackpot. As it happens, the police raid the place when player A has five points and B has three points. After everyone has calmed down, how should the jackpot be divided between the two players? In other words, what is the probability of A winning (and that of B winning) if the game were to continue? The French mathematicians Pascal and Fermat corresponded about this problem, and both came to the same correct conclusion (though by very different reasoning's). Their friend Roberval disagreed with both of them. He argued that player A has probability of Winning, because the game can end in the four ways H, TH, TTH, TTT, and in three of these, A wins. Roberval’s reasoning was wrong. Continue the game from the point at which it was interrupted, using either a coin or a modeling program. Perform this experiment 80 or more times, and estimate the probability that player A wins. Calculate the probability that player A wins. Compare with your estimate from part (a).
Family Planning A intend to have two children. What is tie probability that they will have child of each sex? The French mathematician IY Alembert analyzed this problem (incorrectly) by reasoning that three outcomes are possible: or two girls, or one child of each sex. He concluded that probability of having of each sex is mistakenly assuming that three outcomes are likely. (a) Model this problem with a pair of coins (using "heads" for boys and "tails" for girls). or write a program to model of problem. perform the experiment 40 mere times. Counting the number of boy-girl combinations. Estimate the probability of having child of each. (b) Calculate the correct probability of having one child of each sex and compare this with your result from part (a).
Determine if the statement is true or false. If the statement is false, then correct it and make it true. The probability of an impossible event is 1.
An unbalanced coin weighted so that the probability of heads is 0.55. The coin is tossed ten times. a What is the probability of getting exactly 6 heads? b What is the probability of getting fewer than 3 heads?
Determine if the statement is true or false. If the statement is false, then correct it and make it true. The probability that an event occurs can be a negative number.
In Example 8, what is the probability that an employee chosen at random has 30 or more years of service?
Determine if the statement is true or false. If the statement is false, then correct it and make it true. The probability of a certain event is 0.
Describe how to determine the probability of an event.
Find the probability of each event. Drawing 5 orange cubes from a bowl containing 5 orange cubes and 1 beige cubes
Find the probability of each event. Getting 2 red eggs in a single scoop from a bucket containing 5 red eggs and 7 yellow eggs
Dividing a JackpotA game between two players consists of tossing a coin. Player A gets a point if the coin shows heads, and player B gets a point if it shows tails. The first player to get six points wins an 8,000 jackpot. As it happens, the police raid the place when player A has five points and B has three points. After everyone has calmed down, how should the jackpot be divided between the two players? In other words, what is the probability of A winning and that of B winning if the game were to continue? The French Mathematician Pascal and Fermat corresponded about this problem, and both came to the same correct calculations though by very different reasonings. Their friend Roberval disagreed with both of them. He argued that player A has probability 34 of winning, because the game can end in the four ways H, TH, TTH, TTT and in three of these, A wins. Robervals reasoning was wrong. a Continue the game from the point at which it was interrupted, using either a coin or a modeling program. Perform the experiment 80 or more times, and estimate the probability that player A wins. bCalculate the probability that player A wins. Compare with your estimate from part a.