For three events a b and c we know that a and c are independent b and c are independent

t, • A and B are mutually exclusive, • P(AUC) = 2/3, P(BUC) = 3/4, P(AUBUC) = 11/2 Find P(A), P(B) and P(C).

, • A and B are mutually exclusive, • P(A∪C)= 2,P(B∪C)= 3,P(A∪B∪C)= 11 3 4 12 Find P(A), P(B) and P(C).

ean population in the High Middle Ages? The number of people almost doubles from 38 million to 74 million people. List two reasons for the change in population during this time. Conditions in Europe were more settled and peaceful after the invasions of the early Middle Ages had stopped. Food productions increased because a change in climates improved growing conditions. What two inventions for the horse made it possible to plow faster? A new horse collar and the use of the horseshoe. Define the term manor. A manor was an agricultural estate run by a lord and worked by peasants. What three ways did serfs pay rent to their lords? By giving the lords a share of every product they raised, paying for the use of common pasture lands and turning over a part of the can't from ponds and streams. Name the three great events celebrated by feasts within the Christian faith. Christmas (celebrating the birth of Christ), Easter (celebrating the resurrection of Christ), and Pentecost (celebrating the descent of the Holy Spirit on Christ's disciples 50 days after His resurrection). What two features changed the economic foundation of Europe? A revival of trade and an associated growth of towns and cities. For what two reasons did merchants build a settlement rear a castle? Because it was located along a trade route and because the lords of the castle would offer protection. By 1100, What four rights were townspeople getting from local lords? The right to buy and sell property, freedom from military service to the lord, a law guaranteeing the freedom of the townspeople, and the right for an escaped serf to become a free person after living a year and a day in the town. Describe the environment of medieval cities. The cities were dirty and smelled from animal and human waste. Air was polluted from wood fires. Water was polluted as well. What three steps did a person complete to become a master in a build? He first became an apprentice to a master craftsperson. After 5-7 years he became a journeyman and worked for wages. Upon completing a masterpiece which was judged, he/she could be declared a master and join a guild.