A card is drawn at random from a deck of 52 playing cards. Find the probability that the card drawn is:
an ace or a king
a king or a diamond

probability that the card drawn is:

Step-by-step explanation:

Here we have , A card is drawn at random from a deck of 52 playing cards. We need to find that Find the probability that the card drawn is:

A deck of standard 52 cards contain four aces. There are four kings in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.

⇒

⇒

⇒

A deck of standard 52 cards contain four kings. There are 13 Diamonds in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.

⇒

⇒

⇒

⇒

Therefore, probability that the card drawn is:

a) The probability of drawing an ace or king =  

b) The probability of drawing a diamond or king =  

Step-by-step explanation:

Step 1 :

Total number of cards in the deck = 52

We need to compute probability that card drawn is

a) ace or king

b) King or diamond

Step 2 :

a)

Number of ace in the pack = 4

Number of kings in the pack = 4

Hence the probability of selecting an ace or king =   [total favorable divided by the total outcome] =

Step 3:

b)

Number of king in the card deck = 4

Number of diamond in the card deck = 13

Number of diamond cards which is a king = 1

Total number of cards that can be drawn ( king or diamond) = 4 + 13 - 1 = 16

Hence probability that a diamond or king is drawn =    [total favorable divided by the total outcome]  =  

Step 4 :

Answer :

a) The probability that card drawn is an ace or king =  

b) The probability that card drawn is a diamond or king =  

75

step-by-step explanation:

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: