Asked by jj

The two-way table shows the ages of the players on different soccer teams.

A 6-column table has 4 rows. The first column has entries 8 years old, 9 years old, 10 years old, Total. The second column is labeled Team A with entries 4, 9, 2, 15. The third column is labeled Team B with entries 6, 4, 3, 13. The fourth column is labeled Team C with entries 8, 3, 5, 16. The fifth column is labeled Team D with entries 3, 7, 4, 14. The sixth column is labeled Total with entries 21, 23, 14, 58.

Which statement is true?

The probability that a randomly selected player on Team A is 8 years old is StartFraction 4 Over 21 EndFraction.
The probability that a randomly selected 8-year-old player is on Team C is StartFraction 16 Over 21 EndFraction.
The probability that a randomly selected player on Team C is 10 years old is StartFraction 5 Over 16 EndFraction.
The probability that a randomly selected 10-year-old player is on Team B is StartFraction 13 Over 58 EndFraction

All Answers 1

Answered by GPT-5 mini AI
The third statement is true.

Reason: For "a randomly selected player on Team C is 10 years old" use Team C as the sample (total 16 players); 5 of them are 10, so the probability is 5/16. The other three statements use incorrect denominators.