What is the probability of getting a prime number in a deck of play cards, and the probability of getting an even number?
The deck of a play card has 52 cards whcih are they:
4 sets of ( 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K)
Let us determine the prime numbers in the set.
The prime number is an integer dividible by 1 and itself only:
The prime are: 2, 3, 5, 7
Then we had options of 4 numbers.
The deck of card has 4 sets of each number
Then the total of prime numbers in the deck of card is:
4 * 4 = 16 prime numbers:
Then the probability of getting a prime = 16/52 = 4/13
Now even numbers are: 2, 4, 6, 8, 10
Then there are 5 even numbers 4 times ;
==> total number of odd numbers = 5*4 = 20
Then the probability of getting an even number = 20/52 = 5/13
There are 52 numbers in a deck of cards with no jokers and assuming that the face cards have numeric values (i.e. a king is 13). To answer this quesition, you need to know how many of those cards are prime and how many are even.
The prime numbers less than 14 are:
2 3 5 7 11 13
That is, there are 6 of them, times 4 for each suit.
So your odds of getting a prime numbe are 6*4/52 = 46 %
Exactly half of the cards are even. Thus, your odds of getting an even number are 26/52 = 50%
If you wish to exclude the face cards from the deck, then repeat the calculation for prime numbers less than 10, and with 5 cards per suit being even.