5. What is the probability of not selecting a Heart if one card is drawn from a standard 52 card deck?
There are four different types of cards like that in a deck: Heart, Club, Spade, and Diamond. There is an equal number of each of these.
prob of drawing a heart from 52 cards = 13/52 = 1/4
So the prob of NOT drawing a heart is 1 - 1/4 = 3/4
To find the probability of not selecting a Heart when one card is drawn from a standard 52-card deck, we need to know the number of cards that are not Heart and the total number of cards in the deck.
Step 1: Determine the number of cards that are not Hearts.
In a standard deck, there are 52 cards. Hearts make up 13 cards in total (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King). Therefore, the number of cards that are not Hearts is 52 - 13 = 39.
Step 2: Determine the total number of cards in the deck.
In a standard deck, there are 52 cards.
Step 3: Calculate the probability.
The probability of not selecting a Heart can be calculated by dividing the number of cards that are not Hearts by the total number of cards in the deck.
Probability = Number of cards that are not Hearts / Total number of cards
Probability = 39 / 52
Simplifying the fraction, we get:
Probability = 3/4
Therefore, the probability of not selecting a Heart when one card is drawn from a standard 52-card deck is 3/4 or 0.75.