The numbers and frequencies associated with throwing one astragalus (which can only rest on one of four sides) were: Number Percentage of times the astragalus lands on a particular side "1" (lateral side: flat and narrow) 10 "3" (lower side: broad and concave) 40 “4" (upper side: broad and convex) 40 “6" (lateral side: flat and slightly hollow) 10 (a) Throw one astragalus. What is the probability you get at least a "4"? (b) Throw two astragali. What is the probability that you get "6" on both? (c) Throw two astragali. What is the probability of getting at least one "3"? (d) A popular game in ancient Rome, "rolling of the bones" consisted of throwing four astragali together. The lowest score (i.e. getting a "1" in all the four astragali) was called the "dog throw". What is the probability of getting a "dog throw"?

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The numbers and frequencies associated with throwing one astragalus (which can only rest on one of four sides) were:
Number
Percentage of times the astragalus lands on a particular side
"1" (lateral side: flat and narrow)
10
"3" (lower side: broad and concave)
40
“4" (upper side: broad and convex)
40
"6" (lateral side: flat and slightly hollow)
10
(a) Throw one astragalus. What is the probability you get at least a "4"?
(b) Throw two astragali. What is the probability that you get "6" on both?
(c) Throw two astragali. What is the probability of getting at least one "3"?
(d) A popular game in ancient Rome, "rolling of the bones" consisted of throwing four astragali together. The lowest score (i.e. getting a "1" in
all the four astragali) was called the "dog throw". What is the probability of getting a "dog throw"?
Transcribed Image Text:The numbers and frequencies associated with throwing one astragalus (which can only rest on one of four sides) were: Number Percentage of times the astragalus lands on a particular side "1" (lateral side: flat and narrow) 10 "3" (lower side: broad and concave) 40 “4" (upper side: broad and convex) 40 "6" (lateral side: flat and slightly hollow) 10 (a) Throw one astragalus. What is the probability you get at least a "4"? (b) Throw two astragali. What is the probability that you get "6" on both? (c) Throw two astragali. What is the probability of getting at least one "3"? (d) A popular game in ancient Rome, "rolling of the bones" consisted of throwing four astragali together. The lowest score (i.e. getting a "1" in all the four astragali) was called the "dog throw". What is the probability of getting a "dog throw"?
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