a)most likely number to roll =7
b)as a sum of 7 appears in maximum number of ways =6 {(1,6).(2.5),(3,4),(4,3),(5,2),(6,1)}
c)
total number of outcomes =6*6=36
number of ways getting a 4 as sum =3 {(1,3),(2,2),(3,1)}
hence probability of rolling a total of 4 =3/36 =1/12
Suppose you toss two 6 sided dice on a table. What is the most likely number...
Suppose that 16 fair, 6-sided dice are rolled together (but independently). (a) What is the probability that the average face value (that is, after the roll, add the face values of all the dice together and then divide by 16) is between 3 and 4? (d) Let Y denote the total face value of the 16 dice after the roll. What is the mean and standard deviation of Y? (e) Now instead of rolling 16 dice, you roll n dice....
A) Suppose I roll two fair six-sided dice. What is the probability that I rolled a total of 5? B) Suppose I roll two fair six-sided die and I announce that the sum of the two die is 6 or less. What is the probability that I rolled a total of 5?
Please enter a fraction. A bin contains 165 4-sided dice, 286 6-sided dice, 372 10-sided dice, 423 12-sided dice, and 554 20- sided dice. Assume each die is fair, and each die is equally likely to be chosen. What is the probability of rolling a 1 given that you have a 10-sided die?
Problem 1 Suppose you have two dice to toss (both of them are fair). a) What is the probability of that the total of the two dice will add up to 7 or 11? b) What is the probability of that the total of the two dice will add up to a number other that 2 and 12? Are the events E1 first die shows a 3 E2 total of two die is 6 Independent events? c) d) Given the...
1.) Suppose you roll two fair six-sided dice. What is the probabilty that I rolled a total of 5? 2.) Suppose you roll two fair six-sided die and I announce that the sun of the two die is 6 or less. What is the probabilty that you rolled a total of 5?
You flip a fair coin. On heads, you roll two six-sided dice. On tails, you roll one six-sided dice. What is the chance that you roll a 4? (If you rolled two dice, rolling a 4 means the sum of the dice is 4) O 1 2 3 36 1 2 1 6 + + 1 4 36 1 6 2 2 1 36 + -10 2 . 4 36 + 4 6 2 2
What is the most likely outcome when we throw two fair dice, i.e., what is the most likely sum that the two dice would add to? Why? This problem can be solved by first principles. The probability P(E) for an event E is the ratio |E|/|S|, where |E| is the cardinality of the event space and |S| is the cardinality of the sample space. For example, when we throw a fair die, the event space is S = {1,2,3,4,5,6} and...
Using a standard deck of 52 cards and two six-sided dice, what is the probability that you pick or roll the number 2? Exclude the possibility of picking and rolling the number 2.
2. Suppose you have a four-sided dice, a six-sided dice and a 12-sided dice, each dice is fair. You roll the three dice once and let Z be the number of 4's showing. Find E(Z) using the indicator method.
Assume you roll two 4-sided dice numbered discretely from one to four. What is the probability of rolling a total of five? Show work