One card is selected at random from an ordinary deck of 52 playing cards. Events A, B, and C are defined below. Find the probabilities for parts (a) through (h) below and express your results in words. Compute the conditional probabilities directly; do not use the conditional probability rule. Note that the ace has the highest value. A = event a card higher than 8 is selected B = event a queen is selected C = event a heart is selected d. Find P(BI(not A)). Express your result in words. The probability that V selected, given that selected is (Type an integer or a fraction. Simplify your answer.) e. Find P(A). Express your result in words. The probability that V is selected is (Type an integer or a fraction. Simplify your answer.) f. Find P(A|B). Express your result in words. The probability that V selected, given that v selected is (Type an integer or a fraction. Simplify your answer.)

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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.