Suppose you roll two fair 10-sided dice. Each dice has its faces labeled 1 through 10...
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
Consider two fair, FOUR sided dice, with faces labeled 1, 2, 3, 4. Compute the probability of rolling a) a sum of 3 b) a sum of 6 c) a sum of 9 d) the most likely sum(s) along with its probability.
Let X be a continuous random variable defined on R. Then for any real number x True ● False The staff at a small company includes: 2 secretaries, 12 technicians, 4 engineers, 2 executives, and 64 factory workers If a person is selected at random, what is the probability that he or she is a factory worker? 21 16 21 19 21 7 A 7 digit code number is generated by randomly selecting digits, with replacement, from the set(1.23 the...
Suppose that we roll a fair die that has two faces numbered 1, two faces numbered 2, and two faces numbered 3. Then we toss a fair coin the number of times indicated by the number on the die and count the number of heads. How much information is obtained (on the average) by this procedure?
Find the conditional probability, in a single roll of two fair 6-sided dice, that the sum is less than 6, given that the sum is even The probability is 2 (Type an integer or a simplified fraction) 1
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...
Suppose that you roll 112 fair six-sided dice. Find the probability that the sum of the dice is less than 400. (Round your answers to four decimal places.)You may need to use the appropriate table in the Appendix of Tables to answer this question.
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?
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)
Suppose you have a six sided die. One face is printed with the number 1. Two faces are printed with the number 2. Three faces are printed with the number 3. You also have 3 coins: C_1, C_2, and C_3. C_1 will land Heads with probability 1/5. C_2 will land Heads with probability 1/3. C_3 will land Heads with probability 1/2. You roll the die. If the die lands with a 1 face up, flip coin C_1 If the die lands with...