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Conditional Probability & Bayes' Theorem · Question 23 of 125

Question 23

MediumOriginal question

A card is drawn at random from a well-shuffled pack of 52. Given that it is a king or a heart, what is the probability that it is the king of hearts?

Options for question 23

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Kings or hearts: 4+13−1=164 + 13 - 1 = 16 cards, with the king of hearts counted once.

  2. Only one of the 16 is the king of hearts: 116\frac{1}{16}.

Worth noting

117\frac{1}{17} counts the king of hearts twice, once among the kings and once among the hearts.

Concept
Conditional probability by counting
Typical time
90 s
Your time
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The rule this testsConditional probability
Practise this chapter →

Ten questions from Conditional Probability & Bayes' Theorem, at your own pace.

Practise this chapter →

Ten questions from Conditional Probability & Bayes' Theorem, at your own pace.