Please help all parts With two dice, each numbered 1-6, there are two possible ways to...
Given the information A+B - C- 2D D AH' = -706.1 kJA S" = 320.0 J/K AH = 440,0 kJ AS = –202.0 J/K calculate AG at 298 K for the reaction A+B 20 AG = ith two dice, each numbered 1-6, there are two possible ways to roll a 3. and hus, for the outcome of 3 (a particular macrostate), there are 2 microstates. How many possible ways are there to roll a 4? number of ways to roll...
You have a pair of 4-sided dice. The four sides of each die are numbered 1, 2. 3, and 4. Each time the pair of dice is rolled, you add the numbers from each die. Out of all the possible ways the dice can land, how many of them give you a sum of 5? Number How many ways give you a sum of 8? Number What is the probability of rolling a sum of 7 with these dice? Number
Rolling Dice 2. A pair of dice is rolled. Here is the sample space (all of the possible outcomes) of rolling a pair of dice. First Die a) In how many different ways can we roll a 7 (as the sum of the two dice)? What is the probability of rolling a 7? 2 3 4 5 6 7 3 4 5 6 7 8 b) In how many ways can we roll a sum that is divisible by 3?...
Part A: Consider rolling two standard six-sided dice. How many possible ways (microstates) are there to make the sum of the two dice add to seven (macro state)? а. 6 b. 3 с. 1 d. 7 flip a coin. What are the chances that every Part B: Twenty people each simultaneously coin will come up heads? a. 9.5 x 10A-7 % b. 1.9 х 10^-4 % c. 9.5 x 10^-5 % d. 50 Part C: Twenty people each simultaneously flip...
Suppose you roll two fair dice and the dice add up to. For each possible value of s ∈ {2, 3, . . . , 12},let Fs be the event that the dice sum to. Then determine the probability that, given that Fs occurs, the two dice multiply to a number less than 15.
please do it in C++ Write a program that simulates the rolling of two dice. The program should use rand to roll the first die and should use rand again to roll the second die. The sum of the two values should then be calculated. [Note: Each die can show an integer value from 1 to 6, so the sum of the two values will vary from 2 to 12, with 7 being the most frequent sum and 2and 12...
please show all work Find 1) When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that the second die is 4 or the sum of the dice is 7. B) D) work: 2) Find the odds against correctly guessing the answer to a multiple choice question with 5 possible answers. A) 5:1 B) 4:5 C) 4:1 work: D) 5:4 3) A shirt company has 4 designs that can be made with short or long sleeves....
06. Do any two of the following three parts Q6(a). Solve the following recurrence relation; Q6(b). Find a recurrence relation for an, which is the number of n-digit binary sequences with no pair of consecutive 1s. Explain your work. Q6(c) Solve the following problem using the Inclusion-Exclusion formula. How many ways are there to roll 8 distinct dice so that all the six faces appear? Hint: Use N(A'n n. NU)-S-,-1)' )-S-S2+S-(-1)Sn U- All possible rolls of 8 dice, Aj-Roll of...
An experiment consists of rolling ten fair dice each numbered 1 to 6. The outcome is the sequence of numbers obtained. Answer the following questions: What is the size of the sample space of this experiment? Let random variables X1, X2, X3, X4, X5, X6 be defined as : Xi is the number of i’s obtained among the 10 numbers that show up. What is the expectation, E(X1 + X2 + X3 + X4 + X5 + X6)? Let A...
please illustrate each stepbof the solution so I can understand thank you 4) Given the diagram 2 7 3 6 4 (a) Up to symmetries, in how many ways can we paint the numbered vertices, if two colors (red and blue) are available? (b) How many ways, if additionally we want that at most two numbered vertices are painted red? 4) Given the diagram 2 7 3 6 4 (a) Up to symmetries, in how many ways can we paint...