Jeanne wants to start collecting coins and orders a coin collection starter kit. The kit comes with three coins chosen at random, each in a small envelope. Each coin is either a nickel, a dime, or a quarter. Use conditional probability to solve the following: What is the probability that all three coins are quarters if the first two envelopes Jeanne opens each contain a quarter?
What is the probability that all three coins are different if the first envelope Jeanne opens contains a dime?

A)1/3;2/9
B)1/5;5/6
C)3/10;6/10
D)1/2;3/6

a is the right answer

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

acd, jgvjgbgbgvhgbhjjn

sample answer: you can determine whether each element of the domain is paired with exactly one element of the range. for example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.