F. Roll a red die and a black die simultaneously. Show work (26) What is the...
F. Roll a red die and a black die simultaneously. Show work
(26) What is the probability that the sum of two numbers is
4?
(a) 1/12
(b) 1/9
(c) 1/6
(d) 1/5
(27) What is the conditional probability that the number on the
red die is 3 given that the
number on the black die is 5?
(a) 1/6
(b) 1/3
(c) 1/2
(d) 1
(28) What is the conditional probability that the sum of two
numbers is 4 given that at least
one of two numbers is 1?
(a) 1/6
(b) 2/11
(c) 1/3
(d) 1/2
(29) What is the conditional probability that exactly one of two
numbers is 1 given that the
sum of two numbers is 4? (a) 0
(b) 1/3
(c) 2/3
(d) 1
(30) What is the probability that one of two numbers is 3 and
the other one is 5?
(a) 1/36
(b) 1/18
(c) 1/6
(d) 1/2
Homework Answers
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F. Roll a red die and a black die simultaneously. Show work
(26) What is the...
7. Pairwise Independence. Roll a red 4-sided die and a white 4-sided die. A: the red...
7. Pairwise Independence. Roll a red 4-sided die and a white 4-sided die. A: the red die is even B: the white die is even C: the sum of the two dice is even a) Show that A, B, and C are pairwise independent. b) Show that A n B and C are NOT independent. 8. Roll a red 6-sided die and a white 6-sided die. D: red die is 1 or 2 or 3 Show that P(D กั E...
The following dice game is offered to you. You may simultaneously roll one red die and...
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You roll a pair of fair 6-sided dice: a red die and a blue die. (a)...
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Question 4: You roll a fair die once. Define the events A = “the result is...
Question 4: You roll a fair die once. Define the events A = “the
result is one of the numbers 1, 3, and 4”, B = “the result is one
of the numbers 3, 4, 5, and 6”. • Are the events A and B
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Question 4: You roll a fair die once. Define...
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9”, B = “at least one of the two rolls results in a 2”, C = “at
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