Question

Identify if it's an independent or dependent event and write the probability as a fraction * What is the probability that from a normal 52 card deck, you randomly draw a 3, and then without replacing the 3, you draw the Queen of Hearts?​

Answer 1

Answer: 0.151 percent

Explanation:

The probability of any particular outcome is

(number of possible successful outcomes) / (number of total possibilities)

-- On the first draw, there are 52 possible total outcomes, and

only 4 that are successful ... drawing a 3 .

The probability of drawing a 3 from a full deck is ( 4 / 52 ).

-- On the second draw, there are 51 possible total outcomes (the first

card you drew stayed out), and only one is successful ... drawing the

queen of hearts.

The probability of this particular outcome is ( 1 / 51 ).

-- The probability of both of them is

( 4 / 52 ) x ( 1 / 51 ) =

( 4 / 2,652 ) = about 0.151 percent.