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Probability and Probability Distributions · Paper 2 — Free Maths AA SL Practice Questions
1MasterySAQ-SBasic probability rules and conceptss6 marksPaper 2~9 min
In a school, students can choose to study French, Spanish, or both. The probability that a randomly selected student studies French is , the probability that they study Spanish is , and the probability that they study both is .
(a)
Calculate the probability that a randomly selected student studies at least one of these two languages. [2 marks]
(b)
Show that studying French and studying Spanish are not independent events. [2 marks]
(c)
Given that a student studies at least one of the two languages, calculate the probability that they study both. Hence determine whether, among students who study at least one language, studying both is more or less likely than studying neither French nor Spanish in the whole school. [2 marks]
Solutions
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