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?

Category: QuestionsA 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?
Editor">Editor Staff asked 11 months ago

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)
7
11
 
 
(b)
7
100
 
 
(c)
1
169
 
 
(d)
9
11
 
 
I have been asked this question in an online quiz.
 
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1 Answers
Editor">Editor Staff answered 11 months ago

Correct answer is (c)
1
169
 
 
To elaborate: The probability of drawing a four =
4
52
 
 
The probability of drawing a queen =
4
52
 
 
Total probability =
4
52
×
4
52
=
1
169