an experiment results in 285 ,1's on 1500 rolls of a die.what is the probability of...
an experiment results in 285 ,1's on 1500 rolls of a die.what is the probability of obtaining 1 on a single roll of a die
Homework Answers
From the data given, we get the proportion of 1's when the die is rolled 1500 times. The probability of getting a 1 on the single roll of a die is always1/6.
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an experiment results in 285 ,1's on 1500 rolls of a die.what is
the probability of...
Exercise I: More dice rolls You repeatedly throw a dice. 1. Compute the probability of the...
Exercise I: More dice rolls You repeatedly throw a dice. 1. Compute the probability of the following events. Write these events precisely using other events, and say where you use assumptions such as independence or disjoint- ness. Give your results as a single simplified fraction. (a) The first roll is even and the second one is odd. (b) The first five rolls are even. (c) The first roll is even and the second one is odd, or the first roll...
For the experiment of rolling a single fair die, find the probability of obtaining not less...
For the experiment of rolling a single fair die, find the probability of obtaining not less than 3 The probability of obtaining not less than 3 is (Type an integer or a simplified fraction)
ial Expériments and Binomial Distributions A binomial experiment is a probability experiment with a number of...
ial Expériments and Binomial Distributions A binomial experiment is a probability experiment with a number of repeated trials and the following properties: . Each trial has two outcomes. . The outcomes of each trial are independent of other trials. . The probability of each specific outcome is uniform across tr Example 1: We roll a standard 6-sided die three times. Each time we roll the die, we record whether the die landed on a number less than 5, or not....
If you roll a fair die 3 times, what is the probability that all 3 rolls...
If you roll a fair die 3 times, what is the probability that all 3 rolls will come up a value less than 4?
Probability calculation: discrete/finite example • Two rolls of a tetrahedral die . Let every possible outcome...
Probability calculation: discrete/finite example • Two rolls of a tetrahedral die . Let every possible outcome have probability 1/16 • P(X = 1) = Let 2 = min(X,Y) Y = Second roll • P(Z = 4) = • P(Z = 2) = 1 4 2 3 X = First roll
15.Consider an experiment that consists of 2 rolls of a balanced die. If X is the number of 4s and Y is the number of 5...
15.Consider an experiment that consists of 2 rolls of a balanced die. If X is the number of 4s and Y is the number of 5s obtained in the 2 rolls of the dic, find the joint probability distribution of X and Y; (1) P(X,Y)є A), where A is the region {(x, y)|2x+y<3} (2)
15.Consider an experiment that consists of 2 rolls of a balanced die. If X is the number of 4s and Y is the number of 5s...
1. Amy rolls a 6-sided die 10 times. What is the probability that 3 specified rolls...
1. Amy rolls a 6-sided die 10 times. What is the probability that 3 specified rolls are 6s and none of the others is an 6? answer 0.0013 2. Amy tosses 90000 biased coins. Each coin comes up heads with probability 0.7. What is the probability that exactly 4 of the last 9 coins come up heads? answer 0.0735 3. Amy rolls a 6-sided die 20000 times. What is the probability that exactly 4 of the last 12 rolls are...
Problem 2. (30 points) a) (5 points) In rolling 3 fair dice, what is the probability...
Problem 2. (30 points) a) (5 points) In rolling 3 fair dice, what is the probability of obtaining a sum not greater than 77 b) (5 points) In rolling 2 fair dice, what is the probability of a sum greater than 3 but not exceeding 6? o) (5 points) Given that the frstroll was an odd number what is the probability that sum exceeds 6? The notation for this is P(A I B)- Probability(sum exceeds 6 given that the first...
5. Consider the probability experiment is for you to roll a 9-sided die and a 4-sided...
5. Consider the probability experiment is for you to roll a 9-sided die and a 4-sided die. Complete the by simulating 100 duplications for the Emperical probability table for variable X, where is X is sum of the faces of when 9-sided die and a 4-sided die are rolled. Use excel to simulate a roll of a 9-sided die and a 4-sided die. Classical Emperical Probability P(x), n=100 Probability P(x) total:
4. A weighted die rolls a "5" in 1/4 of all rolls. What, approximately, is the...
4. A weighted die rolls a "5" in 1/4 of all rolls. What, approximately, is the probability of rolling exactly four "5"'s in 8 rolls of the die? a) 0.0865 b) 0.7680 c) 0.0012 d) 1.000 e) 0.0367
Exercise I: More dice rolls You repeatedly throw a dice. 1. Compute the probability of the following events. Write these events precisely using other events, and say where you use assumptions such as independence or disjoint- ness. Give your results as a single simplified fraction. (a) The first roll is even and the second one is odd. (b) The first five rolls are even. (c) The first roll is even and the second one is odd, or the first roll...
For the experiment of rolling a single fair die, find the probability of obtaining not less than 3 The probability of obtaining not less than 3 is (Type an integer or a simplified fraction)
ial Expériments and Binomial Distributions A binomial experiment is a probability experiment with a number of repeated trials and the following properties: . Each trial has two outcomes. . The outcomes of each trial are independent of other trials. . The probability of each specific outcome is uniform across tr Example 1: We roll a standard 6-sided die three times. Each time we roll the die, we record whether the die landed on a number less than 5, or not....
If you roll a fair die 3 times, what is the probability that all 3 rolls will come up a value less than 4?
Probability calculation: discrete/finite example • Two rolls of a tetrahedral die . Let every possible outcome have probability 1/16 • P(X = 1) = Let 2 = min(X,Y) Y = Second roll • P(Z = 4) = • P(Z = 2) = 1 4 2 3 X = First roll
15.Consider an experiment that consists of 2 rolls of a balanced die. If X is the number of 4s and Y is the number of 5s obtained in the 2 rolls of the dic, find the joint probability distribution of X and Y; (1) P(X,Y)є A), where A is the region {(x, y)|2x+y<3} (2)
15.Consider an experiment that consists of 2 rolls of a balanced die. If X is the number of 4s and Y is the number of 5s...
Problem 2. (30 points) a) (5 points) In rolling 3 fair dice, what is the probability of obtaining a sum not greater than 77 b) (5 points) In rolling 2 fair dice, what is the probability of a sum greater than 3 but not exceeding 6? o) (5 points) Given that the frstroll was an odd number what is the probability that sum exceeds 6? The notation for this is P(A I B)- Probability(sum exceeds 6 given that the first...
5. Consider the probability experiment is for you to roll a 9-sided die and a 4-sided die. Complete the by simulating 100 duplications for the Emperical probability table for variable X, where is X is sum of the faces of when 9-sided die and a 4-sided die are rolled. Use excel to simulate a roll of a 9-sided die and a 4-sided die. Classical Emperical Probability P(x), n=100 Probability P(x) total:
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