+509 What is the probability that a point randomly chosen in the large triangle is also in Region A?
about 17%
about 31%
about 44%
about 61%
+128474 Area of large triangle = (1/2)(base) ( height) + (1/2) (12)(6) = (1/2) (72) = 36
Area of region B = (1/2) (base) (height) = (1/2)(10) (5) = (1/2)(50) = 25
Probability that a point chosen in the large triangle is also in A =
[ Area of Large Triangle ] - { Area of Region B ]
_________________________________________ =
Area of Large Triangle
[ 36 - 25 ] 11
________ = ____ ≈ .305 ≈ 30.5% ≈ 31%
36 36
