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For these questions find the probability of drawing the given cards at random from a standard 52-card deck under each condition: (a) with replacement and (b) without replacement. Write your answers as fractions in simplest form.


2) A club, then a spade

a. With replacement


b. Without replacement


3) An ace, then a queen

a. With replacement


b. Without replacement


Sagot :

Answer:

2

a) 6.37%

b) 6.25%

3

a) 0.60 %

b) 0.59 %

Step-by-step explanation:

2 )

a) With replacement

Probability of extracting a club is 13/52

Probability of extracting a spade is 13/51

13/52 * 13/51

= 6.37 %

b) Without replacement

13/52 * 13/52

= 6.25 %

3) With replacement

Probability of extracting a ace is 4/52

Probability of extracting a queen is 4/51

4/52 * 4/51

= 0.60 %

b) Without replacement

4/52 * 4/52

= 0.59 %