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Start off by identifying if the events are dependent or independent. Then, calculate the probability of each event, and multiply.

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The measure of an angle formed by two lines that intersect inside a circle is half the sum of the measures of the intercepted arks.  mAngle1 = 1/2(x+6)
The measure of an angle formed by two lines that intersect outside the circle is half the difference of the measures of the intercepted arcs. mAngle1 = 1/2(x-6)

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An angle whose vertex is on the circle and whose sides are chords of the circle is an inscribed angle. An arc with endpoints on the sides of an inscribed angle, and it’s other points in the interior of the angle is an intercepted arc.

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Within a circle or in congruent circles, congruent central angles have congruent arcs, chords. Congruent chords have congruent arcs. Chords equidistant from the center of centers are congruent.

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Probability is the chance that a certain event will occur. Experimental probability is the likelihood that the event occurs based on the actual results of an experiment. Theoretical probability is the likelihood of an event based on mathematical reasoning.

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The Fundimental Counting Principle: if event M occurs in m ways and event N occurs in n ways, then event M followed by event N can occur in m multiplied by n ways.

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Josie Oostindie 13.5
A contingency table is a two-way frequency table that displays the frequencies of data in two different categories . Conditional probability is the probably an event will occur and can be written as P(B|A)  if A has already occurred.

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The equation of a circle with (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2

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If a line is tangent to a circle, then the line is perpendicular to the radius at the point of tangency.

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A frequency table is a data display that shows how often an item appears in a category. You can use information from the table to calculate probability.

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Conditional Probability Formulas (pg 856) : for any two events A and B, the probability of B occurring, given that event A has occurred is...
P (B/A) = P(A and B) / P(A) , where P(A) = 0