Respuesta :
The probability of being in the smaller triangle is the area of the smaller triangle divided by the area of the larger triangle...
P(inside smaller triangle)=(2*2/2)/(6*5/2)
P(inside smaller triangle)=2/15
P(inside smaller triangle)=(2*2/2)/(6*5/2)
P(inside smaller triangle)=2/15
The probability that a point chosen at random in the given figure will be inside the smaller triangle is 2/15.
Area of the smaller triangle = 0.5 * base * height
Area of the smaller triangle = 0.5*2*2 =2cm²
Area of the larger triangle = 0.5 * base * height
Area of the larger triangle =0.5*6*5 = 15cm²
What is the probability?
Probability is the measurement of possibilities or chances.
The probability that a point chosen at random in the given figure will be inside the smaller triangle is the ratio of the area of the smaller triangle to the area of the larger triangle.
P(inside smaller triangle) = [tex]\frac{2}{15}[/tex]
Therefore, the probability that a point chosen at random in the given figure will be inside the smaller triangle is 2/15.
To get more about probability visit:
https://brainly.com/question/24756209