Hi There!
Probability of choosing one suit: 13/52
Choosing 1 spade: 13/52
Putting it aside and choosing another spade: 12/51
Hope This Helps :)
Answer:
The probability of drawing a spade from a 52-card deck, replacing it, & then drawing another spade is [tex]\frac{1}{16}[/tex]
Step-by-step explanation:
Given : A standard deck of playing cards has 52 cards : 13 spades, 13 clubs, 13 hearts, & 13 diamonds.
To find : What is the probability of drawing a spade from a 52-card deck, replacing it, & then drawing another spade ?
Solution :
Total number of cards = 52 cards
Number of spade cards = 13 cards
Probability of getting a spade card is [tex]\frac{13}{52}[/tex]
Now, The card we draw replace it.
So, Number of spade card is still = 13
Probability of getting another spade card is [tex]\frac{13}{52}[/tex]
Now, The probability of drawing a spade from a 52-card deck, replacing it, & then drawing another spade is
[tex]P=\frac{13}{52}\times\frac{13}{52}[/tex]
[tex]P=\frac{1}{4}\times\frac{1}{4}[/tex]
[tex]P=\frac{1}{16}[/tex]
Therefore, The probability of drawing a spade from a 52-card deck, replacing it, & then drawing another spade is [tex]\frac{1}{16}[/tex]
