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?

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 :

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

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

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

Therefore, The probability is 0.058.

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.