PLEASE SHOW EACH STEP- SHOW THE PROBABILITY WITH FRACTIONS
A fair six-sided die has faces numbered 1 through 6.
A) What is the probability that the die would be rolled 3 times in order to get the first 2?
B) What is the probability that the die would be rolled 4 times in order to get the first odd number?
PLEASE SHOW EACH STEP- SHOW THE PROBABILITY WITH FRACTIONS A fair six-sided die has faces numbered...
A single six-sided die, whose faces are numbered 1 to 6, is rolled n times. The die is fair, each face is equally likely to land upward when the die is rolled. Let X be the number of times that the number on the upward face of the die is 1. Find the mean and the standard deviation of the random variable X.
When a fair die is rolled, it has equal chance to show one of six faces, labelled 1 through 6. If it is rolled 10 times, what is the probability that there are at least three 6's?
Three six-sided fair dice are rolled. The six sides are numbered 1,2,3,4,5,6. Let A be the event that the first die shows an even number, let B be the event that the second die shows an even number, and let C be the event that the third die shows an even number. Express each of the following events in terms of the named events described above: 1) the event that all three dice show even numbers 2) the event that...
Reposting. Please Provide step by step solution. Final answers given. (MA-262 review) A fair six-sided die is rolled four times, and each result is recorded, in order. Determine (a) the probability that there are exactly two results (among the four) that are each a 3, and (b) the probability that the sum of the four results is 23. [Answers: 0.11574, 0.0030864.]
Suppose that Adam rolls a fair six-sided die and a fair four-sided die simultaneously. Let A be the event that the six-sided die is an even number and B be the event that the four-sided die is an odd number. Using the sample space of possible outcomes below, answer each of the following questions.What is P(A), the probability that the six-sided die is an even number?What is P(B), the probability that the four-sided die is an odd number?What is P(A...
Suppose a casino has a game where a fair six-sided die is rolled. If an odd number is rolled, the player loses $2. If a six is rolled, the player wins $20. Otherwise, the player loses $1. If a player played this game 1000 times, how much money should he expect to gain (or lose)? Show work.
Suppose I asked you to roll a fair six-sided die 6 times. You have already rolled the die for 5 times and six has not appeared ones. Assuming die rolls are independent, what is the probability that you would get a six in the next roll? 1/6 1/2 5/6 0 1
The Die is Cast: Imagine a fair die with six faces numbered 1,2,3,4,5,6. You will get to spin the die 3 times. After the first spin, you can choose to be paid dollars equal to the number shown on the die. If you choose to accept the money, the game ends. If you choose to continue, the die is spun again, and again you can accept dollar payment equal to the number showing on the die, at which point the...
If a 25- sided fair die that is numbered from 1 to 25 is rolled once, find the probability of getting (a) a number less than 5 or at least 20. Show your work in details. (b) a number less than 5 and at least 20. Show your work in details (c) an even number. Show your work in details (d) an odd number. Show your work in details
7. (3 points) Given a fair 6-sided die. Each time the die is rolled, the probabilities of rolling any of the numbers from 1 to 6 are all equal. 1) If it is rolled once and let A be the event of rolling a number larger than 3 and B be the event of rolling an odd number. What is P(AV B)? 2) If it is rolled three times, what is the probability that the same number shows up in...