4.5: Geometric Probability. GSE’s Primary. p. 551-558. Primary GSE. M(DSP)–10–5 Solves problems involving experimental or theoretical probability. . Secondary GSE’s.
4.5: Geometric Probability
M(DSP)–10–5 Solves problems involving experimental or theoretical probability.
M(G&M)–10–2 Makes and defends conjectures, constructs geometric arguments, uses geometric properties, or uses theorems to solve problems involving angles, lines, polygons, circles, or right triangle ratios (sine, cosine, tangent) within mathematics or across disciplines or contexts (e.g., Pythagorean Theorem, Triangle Inequality Theorem).
M(G&M)–10–6 Solves problems involving perimeter, circumference, or area
of two dimensional figures (including composite figures) or surface area
or volume of three
Could go either way
Def. gonna happen
Length of AB
Find the probability that a point chosen at random in AF is
also part of each of the segments
Area of Region A
*Note. Does not always have to be same shapes. Could be a circle inside a square, triangle inside a circle, etc. Remember the formulas.
A common game is darts. What is the probability of randomly throwing a dart such that it hits within the red area, given that the dart will always land within the boundary of the outer circle?
If a dog had an accident in the house, what is the probability of it occurring in the bedroom ?
Square ABCO contains part of a circle. What is the probability that a point
Chosen at random would be in the shaded part?
An arrow is shot at random onto the rectangle PQRS. Calculate the probability that the arrow strikes:
a) triangle AQB.
b) a shaded region.
c) either triangle BRC or the unshaded region.
In the figure below, PQRS is a rectangle, and A, B, C, D are the midpoints of the respective sides as shown.