A high school offers both Spanish and French classes. The probability that a student takes both Spanish and French is 0.24 . The probability that a student takes Spanish given that the student takes French is 0.32 . What is the probability that a student takes French? A. 0.01 B. 0.08 C. 0.56 D. 0.75
Added by Aaron M.
Close
Step 1
Let \( P(S \cap F) \) be the probability that a student takes both Spanish and French, which is 0.24. Let \( P(S|F) \) be the probability that a student takes Spanish given that they take French, which is 0.32. Show more…
Show all steps
Your feedback will help us improve your experience
Michael Anderson and 53 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The percentage of high school students studying a language other than English is given in the following table: Language Spanish French German Other None Probability .42 .21 .17 .15 .05 (For those studying multiple languages, they were asked to just pick one.) a. Is this a valid probability distribution? b. What is the probability that a randomly chosen student is studying a foreign language? c. What is the probability that the student is studying either French or German?
Ivan K.
Q1. Of 120 students, 60 are studying French, 50 are studying Spanish, and 20 are studying both French and Spanish. If a student is chosen randomly, find the probability that the student is studying French or Spanish and the probability that the student is studying neither French nor Spanish.
Pritesh R.
Foreign-language study Choose a student in grades 9 to 12 at random and ask if he or she is studying a language other than English. Here is the distribution of results: $$\begin{array}{lccccc}\hline \text { Language: } & \text { Spanish } & \text { French } & \text { German } & \text { All others } & \text { None } \\\text { Probability: } & 0.26 & 0.09 & 0.03 & 0.03 & 0.59 \\\hline\end{array}$$ (a) What's the probability that the student is studying a language other than English? (b) What is the conditional probability that a student is studying Spanish given that he or she is studying some language other than English?
Probability: What Are the Chances?
Conditional Probability and Independence
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD