Question

Laura found an old deck of cards in her drawer which had only eight face cards: king of hearts (H), king of spades (S), king of clubs (C), king of diamonds (D), queen of hearts (H), queen of spades (S), queen of clubs (C), and queen of diamonds (D). Laura and her sister separated the kings and queens into a king deck and a queen deck. They created a game where they draw one card from each deck.
The table below shows all the possible outcomes they can draw.

Outcomes Queen(H) Queen(S) Queen(C) Queen(D)
King(H) King(H),
Queen(H) King(H),
Queen(S) King(H),
Queen(C) King(H),
Queen(D)
King(S) King(S),
Queen(H) King(S),
Queen(S) King(S),
Queen(C) King(S),
Queen(D)
King(C) King(C),
Queen(H) King(C),
Queen(S) King(C),
Queen(C) King(C),
Queen(D)
King(D) King(D),
Queen(H) King(D),
Queen(S) King(D),
Queen(C) King(D),
Queen(D)

What is the probability of Laura and her sister drawing a king that is not the king of hearts, and a queen that is not the queen of spades?

Answer 1

Answer:

9/16

Step-by-step explanation:

Add up all of the ones that don't have the letter you are looking for up and you'll get 9 and all together there is 16 therefore it will be 9/16 :)