Back to Construct and interpret two-way frequency tables — Problem 4 · Task Set 21

Exercises: Construct and Interpret Two-Way Frequency Tables

Work through each section in order. Read each two-way table carefully and decide which total is the correct denominator BEFORE computing: the grand total for marginal and joint probabilities, but a single row or column total for a conditional probability. Write probabilities as fractions or decimals, and remember that probabilities read from sample data are ESTIMATES, not exact values.

Grade 10·21 problems·~35 min·Common Core Math - HS Statistics and Probability·group·hss-cp-a-4

Work through problems with immediate feedback

Fluency Practice

Compute each probability from the given table. Choose the correct denominator before you compute.

Use the favorite-subject table.

	Math	Science	English	Total
10th grade	18	24	18	60
11th grade	22	16	22	60
Total	40	40	40	120

Find the CONDITIONAL probability $P(\text{favors science} \mid \text{tenth grade})$ .

$\frac{24}{60} = 0.40$

$\frac{24}{120} = 0.20$

$\frac{24}{40} = 0.60$

$\frac{40}{120} \approx 0.33$