Geometric Probability Probability Recall that the probability of an event is the likelihood that the event will occur.

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Presentation transcript:

Geometric Probability

Probability Recall that the probability of an event is the likelihood that the event will occur.

Geometric Probability In geometric probability, points on a segment or in a region of a plane represent outcomes. 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.

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?

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.

Examples: What is the probability of hitting the green section? P= 10%

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?

 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?

Examples: Radius = 7 in Radius = 12 in What is the probability of hitting the section of blue or anywhere inside the blue ring? P= P = 34%