Question

What is the probability of drawing a diamond from a standard deck of cards on a second draw, given that a diamond was drawn on the first draw and not replaced?

Answer 1

There are 52 cards in a deck of cards there 13th of each kind

So it's 13/52. X 12/52

Answer 2

Answer:

The probability is 0.058.

Step-by-step explanation:

Given : A standard deck of cards and  a diamond was drawn on the first draw and not replaced.

To find : The probability of drawing a diamond from a standard deck of cards on a second draw, given that a diamond was drawn on the first draw and not replaced?

Solution :

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}$

In a standard deck of 52 cards,

13 diamonds , 13 club , 13 hearts , 13 spade

On a first drawn,

Favorable outcome (diamond was drawn) = 13

Total number of outcome = 52

Probability of first drawn is

$\text{Probability}=\frac{13}{52}$

On a second drawn given that first drawn is not replaced,

Favorable outcome (diamond was drawn) = 12

Total number of outcome = 51

Probability of second drawn is

$\text{Probability}=\frac{12}{51}$

Now, The probability of drawing a cards with the given situation is

$\text{Probability}=\frac{13}{52}\times\frac{12}{51}$

$\text{Probability}=\frac{156}{2652}$

$\text{Probability}=0.058$

Therefore, The probability is 0.058.