Back to Apply the general Multiplication Rule — Problem 3 · Task Set 25
Exercises: Apply the General Multiplication Rule
Work through each section in order. Use the general Multiplication Rule, $P(A \text{ and } B) = P(A) \cdot P(B \mid A)$, for joint probabilities. For draws WITHOUT replacement, remember that BOTH the favorable count and the total shrink after the first draw. On a tree diagram, MULTIPLY along a path and ADD across paths. Leave fractions exact unless told otherwise.
Grade 11·21 problems·~35 min·Common Core Math - HS Statistics and Probability·group·hss-cp-b-8
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Fluency: Apply the Rule
Apply the general Multiplication Rule. For without-replacement draws, update both the favorable count and the total.
1.
A bag has 3 red and 2 blue marbles. Two are drawn without replacement. Find , the probability the first is red and the second is blue. Give your answer as a fraction in lowest terms.