A standard 52-card deck of playing cards has 13 hearts, 13 diamonds, 13 spades,

Question

A standard 52-card deck of playing cards has 13 hearts, 13 diamonds, 13 spades, and 13 clubs. Hearts and diamonds are red suits. Spades and clubs are black suits. For each suit, there is a 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace. Jacks, queens, and kings are “face cards.” (7 points)

a. One card is randomly selected from a deck. What is the probability that the card will be red? (Show computations)

b. What is the complement of selecting a red card?

c. One card is randomly selected from a deck. What is the probability that the card will be a 6? (Show computations)

d. What is the complement of selecting a 6?

e. Were the probabilities in parts a and c subjective or relative frequency probabilities? Explain why.

f. One card is randomly selected from a deck. What are the odds that the card will be red? (Show computations)

g. One card is randomly selected from a deck. What are the odds that the card will be a 6? (Show computations)

Explanation / Answer

a)

PROBABILITY WILL BE 26C1 * 26C0 / 52C1 = 1/2

b)

b. What is the complement of selecting a red card?

selecting a black card

c. One card is randomly selected from a deck. What is the probability that the card will be a 6? (Show computations)

there are 4 cards that have a 6 so

Probability will be 4 / 52 = 1/13

d. What is the complement of selecting a 6?

selecting a card that is no 6

e. Were the probabilities in parts a and c subjective or relative frequency probabilities? Explain why.

relative , because they are divided by the total of cards (52)

f and g)

I can gladly help you but you should post it in a new question

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