Look for the probability for an experiment of which requires you to select one card from a standard deck of 52 playing cards. Write your final answer as a fraction in the simplest form of a/b.
1.) P(the card is not a face)
2.) P(the card is a king)
3.) P(the sum is at least 7)
4.) P(the sum is at least 7)
In a deck of cards, there are
4 different card suits (Hearts, Diamonds, Spades, Clubs)
13 cards in each suit
3 face cards (Jack, Queen, King) in each suit, so 12 face cards total
10 cards which are not face cards, so 40 cards total with no face
1.
P(card is not face) = 40/52
2.
P(card is King) = 4/52
3.
Well if you're going to choose only one card (as stated in the problem) with sum at least 7, the card you'll pick must be from card 7 to 10 in any suit. That's 4 cards in each suit (cards 7, 8, 9, 10), and 4 cards x 4 suits = 16 cards total. So,
P(sum is at least 7) = 16/52
I'm actually not sure about this last one.
Just write them in simplest form.
To find the probability for each of these experiments, we need to determine the total number of favorable outcomes (cards that meet the conditions) and divide it by the total number of possible outcomes (total number of cards in the deck).
Let's address each question separately:
1.) P(the card is not a face)
There are a total of 52 cards in a standard deck. Out of these, there are 12 face cards (4 kings, 4 queens, and 4 jacks). Therefore, the number of cards that are not faces is 52 - 12 = 40.
P(the card is not a face) = Number of non-face cards / Total number of cards
= 40 / 52
= 10 / 13
So, the probability that the selected card is not a face is 10/13.
2.) P(the card is a king)
In a standard deck, there are 4 kings.
P(the card is a king) = Number of kings / Total number of cards
= 4 / 52
= 1 / 13
So, the probability that the selected card is a king is 1/13.
3.) P(the sum is at least 7)
For this question, we need to define what "sum" we are referring to. Are we asking about the sum of the face value of two cards? Please clarify.
4.) P(the sum is at least 7)
Similarly, please clarify what "sum" refers to in this context.
To find the probabilities, we need to define the sum and the condition for favorable outcomes.