1)Design the sample space for an experiment where you will flip three coins into the air,...

1)Design the sample space for an experiment where you will flip three coins into the air, first one, then the second, and finally the third to examine the faces landing upwards. Use the sample space to answer the questions that follow. Probabilities should be expressed as decimals.

A) Please identify the sample space for this experiment.

B) What is the probability of at least one head showing?

C) What is the probability of exactly one tail showing?

D) What is the probability of all three coins matching?

E) What is the probability of a tail showing from the first flip, a head showing on the second flip? (either result on the third flip is included)

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Suppose you have an experiment where you flip a coin three times. You then count the...

Suppose you have an experiment where you flip a coin three times. You then count the number of heads. State the random variable. Write the probability distribution for the number of heads. Draw a histogram for the number of heads. Find the mean number of heads. Find the variance for the number of heads. Find the standard deviation for the number of heads. Find the probability of having two or more number of heads. Is it unusual to flip two...

Two fair coins and a fair die are tossed. Find the sample space of the experiment...

Two fair coins and a fair die are tossed. Find the sample space of the experiment (10 pts); Find the probabilities of the following events: A- ”the die shows 2 or 3” (5 pts); B- ”one of the coins is head, the other - tail, and the die shows an odd number” (5 pts). Are the events A and B independent? (5 pts). Give proofs.

Problem(1) (a) Consider the (random) experiment of throwing THREE coins together. Let S denote the sample...

Problem(1) (a) Consider the (random) experiment of throwing THREE coins together. Let S denote the sample space. List the elements in S. (b) If HEAD comes up, you win $2 dollars; you lose $1 dollar if TAIL shows up. Let X be the random variable that corresponds to the money you win (a positive value) or lose (a negative value). What are the values that the random variable X takes? (c) Suppose that the coin is made and thrown fairly....

A probability experiment is conducted in which the sample space of the experiment is {1, 2,...

A probability experiment is conducted in which the sample space of the experiment is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, event F={4, 5, 6, 7, 8}, and event G={8, 9, 10, 11}. Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule. List the outcomes in F...

1. Three players, A,B, and C, each flip their coins until one person has a different...

1. Three players, A,B, and C, each flip their coins until one person has a different result from the others. The person having the different result wins. (a) Using R, simulate this experiment 10000 times and give the resulting estimate of P(A wins).

Weekly Experiment and Discussion Take 2 coins and flip "together" 50 times Tally each set of...

Weekly Experiment and Discussion Take 2 coins and flip "together" 50 times Tally each set of flips and report the frequencies in the format shown below: B) Using the compiled results ( to be posted on Day #4), can you conclude the results of each coin were independent? ( Show your supporting work) Note: For each, it is about interpreting the results versus any preconceived notions you may have about this exercise Here is a table that summarizes the coin...

Weekly Experiment and Discussion Take 2 coins and flip "together" 50 times Tally each set of...

conduct an experiment in which you have to flip a coin three times. after doing that,...

conduct an experiment in which you have to flip a coin three times. after doing that, Compile the results & submit a report consisting of the following topics.... 1. state sample space. 2. find out probability of getting exactly 2 heads. make sure you state that event space. 3. find the probability of getting at least 2 heads. make sure you stay there. 4.Find the probability of giving an odd number of heads. make sure you state the event space....

Two coins are tossed and a (6-sided) die is rolled. Describe a sample space(probability space), together...

Two coins are tossed and a (6-sided) die is rolled. Describe a sample space(probability space), together with the probability, on which such a situation can be modeled. Find the probability mass function of the random variable whose value is the sum of the number on the die and the total number of heads.

random experiment was conducted where a Person A tossed five coins and recorded the number of...

random experiment was conducted where a Person A tossed five coins and recorded the number of “heads”. Person B rolled two dice and recorded the average the two numbers. Simulate this scenario (use 10000 long columns) and answer questions 10 to 13. Hint: check Lectures 26 and 27 in the Book. 10. Which of the two persons (A or B) is more likely to get the number 5? a. Person A b. Person B c. Not possible to determine 11....

Subjects