Question

a standard deck of playing cards has 52 cards : 13 spades, 13 clubs, 13 hearts, & 13 diamonds. what is the probability of drawing a spade from a 52-card deck, replacing it, & then drawing another spade ??

Answer 1

Answer:

The probability of drawing a spade from a 52-card deck, replacing it, & then drawing another spade is $\frac{1}{16}$          

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 $\frac{13}{52}$

Now, The card we draw replace it.

So, Number of spade card is still = 13

Probability of getting another spade card is $\frac{13}{52}$

Now, The probability of drawing a spade from a 52-card deck, replacing it, & then drawing another spade is

$P=\frac{13}{52}\times\frac{13}{52}$

$P=\frac{1}{4}\times\frac{1}{4}$

$P=\frac{1}{16}$

Therefore, The probability of drawing a spade from a 52-card deck, replacing it, & then drawing another spade is $\frac{1}{16}$

Answer 2

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 :)