Question

in a standard deck of cards there are four suits: spades, clubs, hearts, and diamonds. each suit has one each of 13 cards: ace, king, queen, jack, 2, 3, 4, 5, 6, 7, 8, 9, and 10. if event a is choosing a king, event b is choosing a heart, and event c is choosing a jack, which venn diagram could represent this description?

Explanation:

• Analyze the relationships between events \(A\) (choosing a king), \(B\) (choosing a heart), and \(C\) (choosing a jack).
• There is a king of hearts (so \(A\) and \(B\) overlap).
• There is a jack of hearts (so \(B\) and \(C\) overlap).
• A king and a jack are different face - cards (so \(A\) and \(C\) do not overlap).

Answer:

The Venn diagram where \(A\) and \(B\) overlap, \(B\) and \(C\) overlap, and \(A\) and \(C\) do not overlap (the second Venn diagram in the given options if we assume the first has \(A - C\) overlap wrong and the second has correct non - \(A - C\) overlap based on the described relationships).