A Package of 10 Batteries Is Checked to Determine If

question 2

Multiple Choice

A package of 10 batteries is checked to determine if there are any dead batteries.Four batteries are checked.If one or more are dead, the package is not sold.What is the probability that the package will
Not be sold if there are actually three dead batteries in the package?

• A)2/3
• B)6/7
• C)5/6
• D)4/5

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Definitions:

Majority-Rule Voting

A decision-making process where the option that receives more than half of the votes is chosen, commonly used in democratic systems and organizations.

Voting Paradox

A situation in social choice theory where collective preferences can be cyclic (i.e., not transitive), even if the preferences of individual voters are not, leading to a lack of consistent aggregation of individual preferences into a coherent group order.

Impossibility Theorem

A principle, also known as Arrow's impossibility theorem, stating that it is impossible to devise a social welfare function that fairly ranks societal preferences in the presence of three or more options.

Voting Scheme

A method or system used for casting votes and determining the outcome in an election or decision-making process.