Final answer:
The probability of not drawing a spade from a standard deck of 52 cards is 3/4, while the probability of drawing an even-numbered card is 5/13.
Step-by-step explanation:
The question involves calculating the probability of drawing particular types of cards from a deck.
Probability of not drawing a spade
There are 4 suits in a standard deck: spades, hearts, clubs, and diamonds. With 13 cards in each suit, the probability of not drawing a spade when you draw one card (i.e., drawing a heart, club, or diamond) is:
P(not spades) = Number of non-spade cards / Total number of cards
= (13 hearts + 13 clubs + 13 diamonds) / 52
= 39 / 52 = 3/4.
Probability of drawing an even-numbered card
The even-numbered cards in each suit are 2, 4, 6, 8, and 10. Since there are four suits, there are a total of 20 even-numbered cards in the deck:
P(even numbered card) = Number of even-numbered cards / Total number of cards
= 20 even-numbered cards / 52
= 5/13.