User:Yuchristine

3.2
To find the probability that a point chosen at random in the larger region below will land in the smaller shaded region, you have to find the area of the shaded region and divide it by the area of the entire, larger region. You find the areas because that will give you the probability of the point being in the shaded region. Probability is expresses the chances that something can occur. It is chance/number of having a certain wanted outcome divided by the total number of all possible outcomes. To find the respective areas, use the formula A = (b/2)+n-1 where b is the number of lattice points on the border of the polygon and n is the number of lattice points inside the polygon. So, you would have [(4/2)+1-1]/[(4/2)+9-1] which eventually becomes 1/5 after simplifying. So, the probability that a point chosen at random will land in th smaller shaded region is 1/5. Christine Yu

Yuchristine 04:05, 27 October 2010 (UTC)