As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King).
If you select a card at random, what is the probability of getting:
1) A(n) 4 of Spade s?
2) A Diamond or Heart?
3) A number smaller than 7 (counting the ace as a 1)?
As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King).
If you select a card at random, what is the probability of getting:
1) A(n) 6 of Club s?
2) A Heart or Club?
3) A number smaller than 9 (counting the ace as a 1)?
1) The probability of getting a 4 of Spades is 1 out of 52 since there is only one 4 of Spades card in a deck of 52 cards.
2) The probability of getting a Diamond or Heart is 26 out of 52 since there are 26 red cards (Diamonds and Hearts) in a deck of 52 cards.
3) The probability of getting a number smaller than 7 is 24 out of 52 since there are four cards each of numbers 2-6 for a total of 24 cards that satisfy the condition.
To find the probability of getting a specific card or event, we need to know the total number of possible outcomes and the number of favorable outcomes (outcomes that satisfy the desired condition). In this case, we have a classic deck of 52 cards, so the total number of possible outcomes is 52.
1) Probability of getting a 4 of Spades:
There is only one 4 of Spades in the deck, so the number of favorable outcomes is 1. Therefore, the probability of getting a 4 of Spades is 1/52.
2) Probability of getting a Diamond or Heart:
There are 26 cards that are either Diamonds or Hearts (13 of each), so the number of favorable outcomes is 26. Hence, the probability of getting a Diamond or Heart is 26/52, which simplifies to 1/2.
3) Probability of getting a number smaller than 7:
Out of the 52 cards, there are 4 cards with the number 2, 3, 4, 5, or 6 in each suit (Clubs, Spades, Hearts, Diamonds). Since there are 4 suits, the number of favorable outcomes is 4 * 4 = 16. Therefore, the probability of getting a number smaller than 7 is 16/52, which simplifies to 4/13.
1) there is only 1 four of spades,
so prob(4ofspades) = 1/52
2. There are 13 diamonds and 13 hearts, so
prob(your event) = 26/52 = 1/2
3. you do it. How many of the 52 cards are less than 7 ?