Two sets of numbers, $A$A and $B$B, are such that set $A$A contains the even numbers from $1$1 to $20$20, inclusive, and set $B$B contains the factors of $48$48 from $1$1 to $20$20, inclusive.

Easy

6min

At a university there are $816$816 students studying first year engineering, $497$497 of whom are female (set $F$F). $237$237 of these women are studying Civil Engineering, and there are $348$348 students studying Civil Engineering altogether (set $C$C).

Medium

8min

At an Italian restaurant, $Alessandra$ orders an entree, main and dessert. She has $2$2 entrees, $3$3 mains and $2$2 desserts to choose from.

Entrees: calamari, soup

Mains: spaghetti, lasagna, risotto

Dessert: gelato, tiramisu

Medium

5min

Outcomes

S.CP.3

Understand the conditional probability of A given B as

S.CP.4

Construct and interpret two-way frequency tables of data when two categories are associated with each object being classifieUse the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities. For example, collect data from a random sample of students in your school on their favorite subject among math, science, and English. Estimate the probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same for other subjects and compare the results.

S.CP.5

Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. For example, compare the chance of having lung cancer if you are a smoker with the chance of being a smoker if you have lung cancer.

S.CP.6

Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret the answer in terms of the model.

13.08 Conditional probability

Interactive practice questions

Outcomes

S.CP.3

S.CP.4

S.CP.5

S.CP.6

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