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.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

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