HS.SP.16

Understand the concept of conditional probability. (MP.1, MP.3)

HS.SP.16.aUnderstand the conditional probability of A given B as P(A and B)/P(B).HS.SP.16.b(+) Interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A and the conditional probability of B given A is the same as the probability of B.HS.SP.16.cRecognize and explain the concept of conditional probability in everyday language and everyday situations.HS.SP.16.dFind 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.
Example Problems
A bag contains 9 blue candies, 7 red candies and 5 green candies.
A candy is chosen from the bag at random.

Find the probability that the candy is:
Not Orange
A letter is selected at random from the word F I B O N A C C I.

Find the probability that the letter is:
Not A
Write your answer as a fraction or as a decimal rounded to the nearest hundredth.
A bag contains 9 blue candies, 7 red candies and 5 green candies.
A candy is chosen from the bag at random.

Find the probability that the candy is:
Yellow
Goblins

1-on-1 AI tutoring aligned to HS.SP.16. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

Free for teachers, forever →