5. The school cafeteria offers vanilla swirl and chocolate ice cream, with and without fudge sauce on Fridays. The cafeteria manager kept a record of the 150 students who ordered ice cream on Friday to prepare for the next
weeks' order of ice cream. Use the information in the table to find the following probabilities for a randomly
chosen ice cream order.
Wir ludge
Without fudge
Sauco
SJUCO
Vanuis salt
Chocolate
30
20
a. Find the probability that an order will include fudge sauce.
b. Find the probability that the order will include fudge sauce given that it is for vanilla swirl ice cream.
c. Find the probability that an order will be for vanilla swirl ice cream, given that it will not include fudge sauce.

central asia and the south caucasus are important because their orientation will greatly affect the power and national security planning of large neighboring or interested states (principally, the united states, russia, china, iran, turkey, india, and pakistan). how these states and others think and act strategically in central asia and the south caucasus will influence geopolitical alignments in the region. it is also important to grasp how these states, and others whose interest is acute though less direct (for example, israel, japan, south korea, some gulf arab states), factor central asia and the south caucasus into their strategic thinking.

conversely, the states of central asia and the south caucasus are increasingly dealing with countries other than those we tend to see as having the most direct interest and natural advantages--russia, iran, and turkey. the states of central asia and the south caucasus are looking to a number of other states--for example, india, pakistan, israel, china, south korea and japan--for new trade possibilities and security arrangements. all of these states are increasingly active in both central asia and the south caucasus.

strategic dynamics now cascade across geographic regions. developments in one region can have extensive direct, and second- and third-order consequences other regions. analysts must broaden their focus and not view the region as a traditionally defined set of states. central asia and the south caucasus are a strategic crossroads. they must be understood and analyzed in the larger eurasian/asian context if analysts are to capture all of the cross-regional dynamics that shape these two regions as well as the broader geopolitical landscape around them.

iran is potentially the most influential near-term variable. if a normalization of us-iranian relations takes place, the entire regional picture would change dramatically by changing the strategic calculations of all the regional actors and the major external actors in the two region.

russia's policy will not necessarily be more coherent or benign under president putin. russia probably will continue to be weak but remain relatively stronger than its neighbors and possess more leverage than other actors in the central asian and south caucasus regions. several panelists suggested considering the implications for central asia and the south caucasus of a russia in which power is significantly devolved to its borderlands, or that is even fragmented politically.

so long as afghanistan remains in chaos, which it probably will for a fairly long time, it will be a principal contributor to the most worrisome threats facing central asia: the conjunction of narcotrafficking and militant islam, terrorism, and political instability.