The following data indicates the prize distribution for a small lottery of 500 tickets conducted at a local hospital: 60 tickets have a $600 prize and 1 ticket has a $1,000 grand prize. The rest of the tickets do not win anything. a. What is the probability that a ticket is not a winning ticket? Round to three decimal places if necessary b. What is the expected winning in this situation?

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.