QuestionA standard deck has 52 cards: 26 black (clubs, spades) and 26 red (hearts, diamonds). Find the probability of:
1) Drawing a 7 of Clubs?
2) Drawing a Heart or Spade?
3) Drawing a number smaller than 3 (ace as 1)?
Studdy Solution
STEP 1
Assumptions1. The deck of cards is standard with52 cards. There are26 black cards and26 red cards3. Each color is split into two suits of13 cards each (clubs and spades are black and hearts and diamonds are red)
4. Each suit is split into13 individual cards (Ace,-10, Jack, Queen, and King)
5. The card is selected at random
STEP 2
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes.
STEP 3
To find the probability of getting a7 of clubs, we need to know that there is only one7 of clubs in a deck of52 cards.
STEP 4
Calculate the probability of getting a7 of clubs.
STEP 5
To find the probability of getting a heart or a spade, we need to know that there are13 hearts and13 spades in a deck of52 cards.
STEP 6
Calculate the probability of getting a heart or a spade.
STEP 7
To find the probability of getting a number smaller than3 (counting the ace as a1), we need to know that there are four2's and four aces in a deck of52 cards.
STEP 8
Calculate the probability of getting a number smaller than3.
The probabilities are1) The probability of getting a7 of clubs is0.019232) The probability of getting a heart or a spade is0.53) The probability of getting a number smaller than3 is0.15385
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