Answer:
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:
[tex]P(G) = \frac{127}{344}\\P(G) = 0.3692[/tex]
A silver medal won by a Russian - Number of silver medals won by Russia divided by total number of medals:
[tex]P(S\cap R) = \frac{27}{344}\\P(S\cap R) = 0.0785[/tex]
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:
[tex]P(B\cup U)=\frac{109+35+39}{344}\\P(B\cup U)=0.5320[/tex]
A silver medal or a bronze medal - Number of total silver plus total gold medals divided by total number of medals:
[tex]P(S\cup B)=\frac{108+109}{344}\\P(S\cup B)=0.6308[/tex]
A gold medal and a silver medal - A medal can't be both gold and silver, the probability is zero:
[tex]P(G\cap S)=0[/tex]
A silver medal given that it was won by Japan - Number of Japan silver medals divided total medals won by Japan:
[tex]P(S|J)=\frac{9}{37}\\P(S|J)=0.2432[/tex]
A medal won by Australia given that it was bronze - Number of Australia bronze medals divided by total bronze medals:
[tex]P(A|B)=\frac{16}{109}\\P(A|B)=0.1468[/tex]
