the two - way table shows the medal count for the top - performing countries in the 2012 summer olympics.\n|…
the two - way table shows the medal count for the top - performing countries in the 2012 summer olympics.\n| | gold | silver | bronze | total |\n| united states | 46 | 29 | 29 | 104 |\n| china | 38 | 27 | 23 | 88 |\n| russia | 24 | 26 | 32 | 82 |\n| great britain | 29 | 17 | 19 | 65 |\n| total | 137 | 99 | 103 | 339 |\nwhich statement is true?\no the probability that a randomly selected silver medal was awarded to great britain is $\frac{17}{99}$.\no the probability that a randomly selected medal won by russia was a bronze medal is $\frac{32}{103}$.\no the probability that a randomly selected gold medal was awarded to china is $\frac{88}{137}$.\no the probability that a randomly selected medal won by the united states was a silver medal is $\frac{104}{339}$.
Answer
Explanation:
Step1: Recall probability formula
Probability = $\frac{\text{Favorable outcomes}}{\text{Total outcomes}}$.
Step2: Analyze first option
Total silver medals = 99. Silver medals of Great - Britain = 17. Probability that a randomly selected silver medal was awarded to Great Britain = $\frac{17}{99}$.
Step3: Analyze second option
Total medals won by Russia = 82. Bronze medals of Russia = 32. Probability that a randomly selected medal won by Russia was a bronze medal = $\frac{32}{82}$, not $\frac{32}{103}$.
Step4: Analyze third option
Total gold medals = 137. Gold medals of China = 38. Probability that a randomly selected gold medal was awarded to China = $\frac{38}{137}$, not $\frac{88}{137}$.
Step5: Analyze fourth option
Total medals won by the United States = 104. Silver medals of the United States = 29. Probability that a randomly selected medal won by the United States was a silver medal = $\frac{29}{104}$, not $\frac{104}{339}$.
Answer:
The probability that a randomly selected silver medal was awarded to Great Britain is $\frac{17}{99}$.