Astandard deck of cards has 52 cards. the cards have one of two colors: 26 cards in the deck are red and 26 are black. the cards have one of four denominations: 13 cards are hearts (red), 13 cards are diamonds (red), 13 cards are clubs (black), and 13 cards are spades (black). one card is selected at random and the denomination is recorded. what is the sample space s for the set of possible outcomes?

S={(heart), (diamond), (club), (spade)}  

Step-by-step explanation:

In probability, a set is a well-defined collection of objects, product of an independent successful operation.

A sample space is the combination of all possible outcomes in an operation, so in this case, when we select one card and record the denomination, then we need to check what characteristic from the card are we looking for, from the problem we can see that is the denomination by itself, not the color, the number of the card, or anything else, and we only have 4 options of denomination so the sample space would be:

S={(heart), (diamond), (club), (spade)}  

step-by-step explanation:

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c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.