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Directions: Show your work and round all answers to 4 places 1) 2 cards are drawn at random from a standard deck. a) Find the probability that both cards are hearts. b) Find the probability that both cards are face cards. Note: Face cards are kings, queens, and jacks.

Directions: Show your work and round all answers to 4 places 1) 2 cards are drawn at random from a standard deck. a) Find the probability that both cards are hearts. b) Find the probability that both cards are face cards. Note: Face cards are kings, queens, and jacks.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 7E
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# Extra Probability Practice **Formulas:** - \( p(A \text{ and } B) = p(A) \times p(B|A) = p(B) \times p(A|B) \) - \( p(A \text{ or } B) = p(A) + p(B) - p(A \text{ and } B) \) **Directions:** Show your work and round all answers to 4 decimal places. ### 1) Two cards are drawn at random from a standard deck. a) Find the probability that both cards are hearts. b) Find the probability that both cards are face cards. - Note: Face cards are kings, queens, and jacks. ### 2) \( p(A) = 0.57 \), \( p(B) = 0.38 \) and \( p(A \text{ and } B) = 0.05 \). Find \( p(B|A) \). ### 3) In a large school, it was found that 64% of students are taking a math class, 76% of students are taking an English class, and 41% of students are taking both. a) Find the probability that a randomly selected student is taking a math class or an English class. b) Find the probability that a randomly selected student is taking neither a math class nor an English class. Write your answer as a decimal and round to 2 decimal places if necessary.
Transcribed Image Text:# Extra Probability Practice **Formulas:** - \( p(A \text{ and } B) = p(A) \times p(B|A) = p(B) \times p(A|B) \) - \( p(A \text{ or } B) = p(A) + p(B) - p(A \text{ and } B) \) **Directions:** Show your work and round all answers to 4 decimal places. ### 1) Two cards are drawn at random from a standard deck. a) Find the probability that both cards are hearts. b) Find the probability that both cards are face cards. - Note: Face cards are kings, queens, and jacks. ### 2) \( p(A) = 0.57 \), \( p(B) = 0.38 \) and \( p(A \text{ and } B) = 0.05 \). Find \( p(B|A) \). ### 3) In a large school, it was found that 64% of students are taking a math class, 76% of students are taking an English class, and 41% of students are taking both. a) Find the probability that a randomly selected student is taking a math class or an English class. b) Find the probability that a randomly selected student is taking neither a math class nor an English class. Write your answer as a decimal and round to 2 decimal places if necessary.
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Step 1

Total card in a standard deck is 52.

Heart in a deck is 13

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