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10-8 Geometric Probability

10-8 Geometric Probability. Probability. Recall that the probability of an event is the likelihood that the event will occur. The theoretical probability of an event is the ratio of “favorable outcomes” to possible outcomes. Can be expressed as a fraction, decimal, or percent.

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10-8 Geometric Probability

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  1. 10-8 Geometric Probability

  2. Probability • Recall that the probability of an event is the likelihood that the event will occur. • The theoretical probability of an event is the ratio of “favorable outcomes” to possible outcomes. • Can be expressed as a fraction, decimal, or percent.

  3. Geometric Probability • In geometric probability, points on a segment or in a region of a plane represent outcomes. • The geometric probability is a ratio that involves geometric measures such as length or area. Probability and Length: Point S on AD is chosen at random. The probability that S is on BC is the ratio of the length of BC to the length of AD.

  4. Using Segments to Find Probability • Point K on ST is chosen at random. What is the probability that K lies on QR? What is the probability that K lies on SR?

  5. More Geometric Probability Probability and Area: Point S in region R is chosen at random. The probability that S is in region N is the ratio of the area of region N to the area of region R.

  6. Using Area to Find Probability • A circle is inscribed in a square. Point Q in the square is chosen at random. What is the probability that Q lies in the shaded region?

  7. A triangle is inscribed in a square. Point T in the square is selected at random. What is the probability that T lies in the shaded region?

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