9. A fair die is thrown 1200 times (independently). Consider the number of sixes thrown. a)...
When a fair die is rolled n times, the probability of getting at most two sixes is 0.532 correct to three significant figures. (a) Find the value of n. answer n=15
In a dice game, you roll a fair die three times, independently. If you don’t roll any sixes, you lose 1 dollar. If you roll a six exactly once, you win one dollar. If you roll a six exactly twice, you win two dollars. If you roll a six all three times, you win k dollars. (A) Let k = 3. What is the expected value of the amount you would win by playing this game (rounded to the nearest...
3. A person tosses a six-sided die five times and observes the sequence of top numbers. a) Find the probability that at most one 4 occurs. 6 5 65 b) Find the probability at least one 5 or at least one 6 occurs. 36O. 328 c) Find the probability exactly two sixes occur. 0032 , 5c2 -О.OY2
When a fair die is rolled n times, the probability of getting at most two sixes is 0.532 correct to three significant figures. (a) Find the value of n. ( Can help without using a GDC or write down steps on how to find answer from GDC. not just stating .. I know the answer is 15 but l need working steps on how to get 15 clear?)
a fair die is rolled 8 times. Find: (Please give an explanation for both answers. I'm unsure how to approach the questions) b) what is the probability the die lands on an odd number at least 2 times c) what is the probability the die lands on a 6 at most twice
A fair die is thrown. If the number on the die is 2 or less, a random variable X is assigned the value 1 and the value zero otherwise. The random variable X is then input to a binary channel with crossover probabilities v = 0.001 and e = 0.003. The output of the binary channel is the random variable Y. Find the following: (a) Pr[ '3' | X = 0] or the probability that the die throw is 3...
.1. A pair of fair dice is thrown, what is the probability that the sum of the two numbers is greater than 10. 2. A pair of fair dice is thrown. Find the probability that the sum is 9 or greater if a. If a 6 appears on the first die. b. If a 6 appears on at least one of the dice.
You are to roll a fair die n=123 times, each time observing the number of dots appearing on the topside of the die. The number of dots showing on the topside of toss i is a random variable represented by Xi, i=1,2,⋯,123. (a) Consider the distribution of the random variable Xi. Find the mean and the standard deviation of the number of dots showing on the uppermost face of a single roll of this die. μXi= (at least one decimal)...
1.4-19. Extend Example 1.4-6 to an n-sided die. That is, suppose that a fair n-sided die is rolled n independent times. A match occurs if side i is observed on the ith trial, (a) Show that the probability of at least one match is n-1 (b) Find the limit of this probability as n increases without bound
I want help to solve this question (3) A fair die is rolled twice, independently. (a) Consider the events: A = "the first number that show up is a 6"| B = "the sum of the two numbers obtained is equal to 7" C=" the sum of the two numbers obtained is equal to 7 or 11“ (i) Calculate P(BIC) (ii) Calculate P(A|B) (iii) Are A and B independent events? (b) Considering rolling two dice. Knowing that an even number...