PS.DA.6
Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities.
Example Problems
An organization surveyed its employees on satisfaction with a training program.
What percent of Sales employees were satisfied?
| Department | Satisfied | Not Satisfied | TOTAL |
|---|---|---|---|
| HR | 12 | 3 | 15 |
| IT | 18 | 6 | 24 |
| Sales | 20 | 10 | 30 |
| TOTAL | 50 | 19 | 69 |
What percent of Sales employees were satisfied?
A poll surveyed voters' party preference.
What percent of voters aged 30–49 preferred Party B?
| Party | 18–29 | 30–49 | 50+ | TOTAL |
|---|---|---|---|---|
| Party A | 40 | 60 | 50 | 150 |
| Party B | 30 | 40 | 30 | 100 |
| TOTAL | 70 | 100 | 80 | 250 |
What percent of voters aged 30–49 preferred Party B?
From a standard 52-card deck, two cards are drawn without replacement.
What is the probability that both cards are face cards (jack, queen, or king)?
Write your answer as a fraction.
What is the probability that both cards are face cards (jack, queen, or king)?
Write your answer as a fraction.
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