Foreign Adoptions The following foreign adoptions (in the United States) occurre

Question

Foreign Adoptions The following foreign adoptions (in the United States) occurred during these particular years. 2013 2306 438 2014 China 2040 716 521 Ethiopia Ukraine Choose one adoption at random from this chart. a. What is the probability that it was from Ethiopia given that it was from 2013? b. What is the probability that it was from the Ukraine and in 2014? c. What is the probability that it did not occur in 2014 and was not from Ethiopia? d. Choose two adoptions at random; what is the probability that they were both from China? Source: World Almanac.

Explanation / Answer

We have,

a. Probability that it was from Ethiopia given that it was from 2013 = P(Ethiopia / 2013)

= P( Ethiopia and 2013) / P(2013) = 993 / 3737 = 0.2657  

b. Probability that it was from the Ukraine and in 2014 = P(Ukraine and 2014)

= 521 / 7014 = 0.07428

c. Probability that it didnot occur in 2014 (occur in 2013) and was not from ethiopia

= P( 2013 and China or Ukraine) = ( 2306 + 438 ) / 7014 = 0.3912

d. Probability that they were both from China = 4346C2 / 7014C2 = 0.384

2014 2013 Total China 2040 2306 4346 Ethiopia 716 993 1709 Ukraine 521 438 959 Total 5291 3737 7014

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