Country Gold Silver Bronze Totals United States 35 39 29 103 China 32 17 14 63 Russia 27 27 38 92 Australia 17 16 16 49 Japan 16 9 12 37 Totals 127 108 109 344 If a medal is picked at random from this group, find the probability that it was A gold medal A silver medal won by a Russian A bronze medal or won by the United States A silver medal or a bronze medal A gold medal and a silver medal A silver medal given that it was won by Japan A medal won by Australia given that it was bronze

0.3692

0.0785

0.5320

0.6308

0

0.2432

0.1468

Explanation:

A gold medal -  Number of gold medals divided by total number of medals:

A silver medal won by a Russian - Number of silver medals won by Russia divided by total number of medals:

A bronze medal or won by the United States - Number of total bronze medals added to silver and gold medals from USA, divided by total number of medals:

A silver medal or a bronze medal - Number of total silver plus total gold medals divided by total number of medals:

A gold medal and a silver medal - A medal can't be both gold and silver, the probability is zero:

A silver medal given that it was won by Japan - Number of Japan silver medals divided total medals won by Japan:

A medal won by Australia given that it was bronze - Number of Australia bronze medals divided by total bronze medals:

answer; bootstrapping is your answer;