Players 1, 2, 3 are playing a tournament. Two of these three players are randomly chosen to play a game in round one, with the winner then playing the remaining player in round two. The winner of round two is the tournament victor. Assume that all games are independent and that i wins when playing against j with probability is i/( i+j)

(a) Find the probability that 1 is the tournament victor. (Hint: A tree diagram should be helpful, considering whether player 1 plays in round one.)

(b) If 1 is the tournament victor, find the conditional probability that 1 did not play in round one.

The answer & explanation for this question is given in the attachment below.

the maximum mass of nh3 is nh3 in grams

a. the law of proportion states the combination of 2 atoms in a specific ratio to produce multiple compounds such as the given statement of question ‘1st compound contains 88.8 % cu ’ indicates 88.8 g of cu is present along with 11.2 g oxygen in 100 g of compound whereas the statement ‘2st compound contains 79.9 % cu ’ indicates 79.9 g of cu is present along with 20.1 g oxygen in 100 g of compound

1st compound contains 88.8 g cu

for cu

m = 63 g /mol

atomic % = 88.8 /63 = 1.42

for o

m = 16 g /mol

atomic % = 11.2 /16 = 0.7

b. the emperical formula of 1st compound is

cu1.4o0.7

cu2o