Two cards are selected at random without replacement from a well-shuffled deck of 52 playing cards. Find the probability of the given event. (Round your answer to three decimal places.) A pair is not drawn.

Step-by-step explanation:

Here, the total number of cards in the given deck = 52

The total number of suits = 4 (13 cards each)

Now, P( Drawing 2 clubs) =

Similarly,  P( Drawing 2 diamond ) =

P( Drawing 2 spades) =

P( Drawing 2 hearts ) =

⇒ Probability of drawing 2 clubs or 2 spades or 2 hearts or 2 diamonds

=  P( Drawing 2 clubs) +  P( Drawing 2 diamond ) P( Drawing 2 spades)+ P( Drawing 2 hearts )  =

Now, P(NOT DRAWING A PAIR) = 1 - P(DRAWING a PAIR)

                                                       = 1- 0.2352 = 0.7647

Hence, the probability that a pair is not drawn  = 0.7647