Tossing coins imagine tossing a fair coin 3 times. (a) what is the sample space for this chance process? (b) what is the assignm
1 answer:
Answer:
(a) what is the sample space for this chance process?
If we toss a coin three times then there are total outcomes
The sample space associated with the given chance process is:
(b) what is the assignment of probabilities to outcomes in this sample space?
Since the given sample space has eight outcomes and we know that a fair coin is tosses three times. Therefore, the probability of all the events mentioned in the given sample space is same. Hence we have:
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Answer:
B. Angle X is the largest angle.
C. Angle Z is greater than angle Y.
E. Line segment X Z is the shortest side.
Step-by-step explanation:
YZ = 2n, XZ = n - 2, XY = n + 4 and n ≥ 5.
YZ - XZ = 2n - (n - 2) = n + 2. but n ≥ 5, hence YZ - XZ = n + 2 ≥ 7.
YZ > XZ
YZ - XY = 2n - (n + 4) = n - 4. but n ≥ 5, hence YZ - XY = n - 4 ≥ 1
YZ > XY
XY - XZ = n + 4 - (n - 2) = 6: XY > XZ
Therefore:
YZ > XY > XZ
The angles are proportional to their opposite sides, hence:
∠X > ∠Z > ∠Y
A. Line segment XY is the longest side.
This is wrong because YZ is the longest side.
B. Angle X is the largest angle.
This is correct. ∠X is the largest angle because it is opposite to the longest side (YZ)
C. Angle Z is greater than angle Y.
This is correct. ∠Z is opposite to the side XY while ∠Y is opposite to the side XZ
D. Line segment XZ is opposite the largest angle.
This is wrong. ∠X is the largest angle which is opposite to the longest side (YZ)
E. Line segment X Z is the shortest side.
This is correct
