Question

A card is chosen at random from a deck of cards and then replaced, a second card is chosen. What is the probability of choosing a four and then a queen?

(a) \(\frac {7}{11}\)

(b) \(\frac {7}{100}\)

(c) \(\frac {1}{169}\)

(d) \(\frac {9}{11}\)

I have been asked this question in an online quiz.

I'm obligated to ask this question of Probability in chapter Probability of Mathematics – Class 12

Answer 1

Correct answer is (c) \(\frac {1}{169}\)

To elaborate: The probability of drawing a four = \(\frac {4}{52}\)

The probability of drawing a queen = \(\frac {4}{52}\)

Total probability = \(\frac {4}{52} \times \frac {4}{52} = \frac {1}{169} \)