EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Conditional Probability & Bayes' Theorem · Question 39 of 125

Question 39

MediumOriginal question

Two cards are drawn one after the other, without replacement, from a pack of 52. What is the probability that the first is a king and the second a queen?

Options for question 39

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. P(K1)=452P(K_1) = \frac{4}{52}; all 4 queens are still among the 51 cards left: P(Q2∣K1)=451P(Q_2 \mid K_1) = \frac{4}{51}.

  2. 452×451=4663\frac{4}{52} \times \frac{4}{51} = \frac{4}{663}.

Worth noting

1169=452×452\frac{1}{169} = \frac{4}{52} \times \frac{4}{52} puts the king back before the second draw.

Concept
Probabilities without replacement
Typical time
90 s
Your time
—
The rule this testsThe multiplication theorem
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.