Back to Explain conditional probability in everyday language — Problem 3 · Task Set 22

Exercises: Explain Conditional Probability and Independence in Everyday Language

Work through each section in order. This standard is about EXPLAINING in
plain words, so several problems ask you to write complete sentences.
Remember: "A given B" and "B given A" are different questions with
different reference groups; "independent" means knowing one tells you
nothing about the other (it is about information, not whether the events
can happen together).

Grade 10·21 problems·~30 min·Common Core Math - HS Statistics and Probability·group·hss-cp-a-5

Work through problems with immediate feedback

Fluency Practice

Identify the conditioning, judge independence, and read the table.

A fair coin is flipped twice. Are the events "first flip is heads" and "second flip is heads" independent?

Yes — knowing the first flip tells you nothing about the second.

No — after a head, the next flip is more likely to be tails to balance out.

No — they cannot both be heads.

Yes — because they can never happen together.