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 =  

answer: 230 miles ( vote ! )

step-by-step explanation:

180.39 minus 17.99 equals 162.4

then divide 162.4 by .80 to get 230

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: