Please enter a fraction. A bin contains 165 4-sided dice, 286 6-sided dice, 372 10-sided dice,...
If we roll a red 6-sided die and a green 6-sided die (both are fair dice with the numbers 1-6 equally likely to be rolled), what is the probability that we get (i) A 5 on the green die AND a 3 on the red die? (ii) A 5 on the green die OR a 3 on the red die? (iii) A 5 on the green die GIVEN we rolled a 3 on the red die?
A 10 sided dice is rolled once and assumes that all outcomes are equally likely to occur. Let A denote the event that an even number will be observed when rolling the die. what is the probability of Event A occuring?
Suppose you roll two fair 10-sided dice. Each dice has its faces labeled 1 through 10 and by "fair" we mean each face is equally likely to appear. What is the probability that both dice show the same face? Note: Give an exact answer as a fraction in the form a/b (explained) Number A fair coin is tossed three times. What is the probability that the same face will never appear two times n a row? Give an exact answer...
Find the conditional probability, in a single roll of two fair 6-sided dice, that neither die is a three, given that the sum is greater than 6 7 The probability is 12 (Type an integer or a simplified fraction)
Please solve this probability and statistics problem The lecturer has four 6-sided dice, of which three are regular (results 1, ...,6 are equally probable). One die is deformed so that results 1 and 6 each have probability 0.3, and each other result has probability 0.1. The lecturer has chosen one die randomly and rolled it five times, obtaining the result sequence (6, 6, 2, 4, 6). We denote = 1 if the chosen die is regular, and = 2 if...
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6. You are in possession of a pair of 4-sided fair dice (green and red). If you roll any individual die, the possible results are 1, 2, 3, or 4, each equally likely. Let Ai be the random result on the green die, and A2 be the random result on the red die. We define the random variable A = A1 A2 the absolute value of difference between the...
Problem 3. (10 points) We roll two fair 6-sided dice. (1) What is the probability that at least one die roll is 6? (2) Given that two two dice land on different numbers, what is the conditional probability that at least one die roll is a 6? Thint] You may use the graphical approach (Lecture 5 slide 11-12) to help you solve the problem.
Test: 11p1 Test Submit Test This Question: 1 pt 15 of 20 (5 complete)I This Test: 20 pts possible A 12-sided die is rolled. The set of equally likely outcomes is (123,4,5,6,7,8,9,10,11,12). Find the probability of rolling a number less than 10 The probability of rolling a number less than 10 is Type an integer or a simplified fraction.) of in m Enter your answer in the answer box do
You have two fair, 6-sided dice. Die 1 has 4 white faces and 2 black faces. Die 2 has 2 white faces and 4 black faces. You roll Die 1. If it comes up white, then Die 1 is the “chosen die” and you put Die 2 away, but if it comes up black, then Die 2 is the “chosen die” and you put Die 1 away. You now roll the chosen die twice, noting the color that comes up...
Problem 2. In a cup there is a mixture of 10 dice of different types: 1 four-sided die (i.e., four faces of 1, 2, 3, and 4) 2 six-sided dice (i.e., the “regular” die) 3 eight-sided dice (i.e., eight faces of 1, 2, ..., 8) 4 twelve-sided dice (i.e., twelve faces of 1, 2, ..., 12) All dice are fair (i.e., equal probability for all possible outcomes). I take one die from the cup at random,...