Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters. 7)
MZDGC 8) mZSXW F --212 12.7 12x - SIG W 370 B 4x-SE 15 + 4x C D 21x + 8 Find the measure of the arc or angle indicated. 9) Find mRL 10) Find mZSRT K T 16x-1 15x + 3 30x + 4 32x - 4 S L Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent. 11) Find mZSTV 12) Find mJMK T 6x U 127x + 1 6 + 10x M S L 63.r + 1 160° 13) Find mQS 14) 500 U P D G, F 155 “ e 19x - 2 E 15x U R S 190°
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Answer:
a) S = {1, 2, 3}
b) P(odd number) =
c) No
d) Yes
Step-by-step explanation:
a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}
However, the sample is not equiprobable because each element has different probabilities.
b) P(odd number) =
Note that the odd numbers are 1 (on three faces) and 3 (on one face).
c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.
d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:
Let's assume the probability for 1 or 2 is . Then that of 3 is
(because it is twice the others). The sum of probabilities must be 1.
P(odd number) = Prob(1) + Prob(3)
= =