A standard deck of 52 cards contains four suits: clubs, spades, hearts, and diamonds. Each deck contains an equal number of cards in each suit. Rochelle chooses a card from the deck, records the suit, and replaces the card. Her results are shown in the table. Cards Suit Observed Frequency Clubs 29 Spades 13 Hearts 15 Diamonds 23 How does the experimental probability of choosing a heart compare with the theoretical probability of choosing a heart?

Question

Evie Sexton

Mathematics

18 November, 12:01

A standard deck of 52 cards contains four suits: clubs, spades, hearts, and diamonds. Each deck contains an equal number of cards in each suit. Rochelle chooses a card from the deck, records the suit, and replaces the card. Her results are shown in the table. Cards Suit Observed Frequency Clubs 29 Spades 13 Hearts 15 Diamonds 23 How does the experimental probability of choosing a heart compare with the theoretical probability of choosing a heart?

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Belen Arroyo · Answer 1

There are 52/4=13 cards of each suit, so the theoretical probability of selecting a particular suit is 1/4 because there are four suits, each with same sized set of cards. The probability is also 13/52=1/4 if we consider the cards themselves. In the table the frequency of hearts is 15, which would give us an experimental probability of 15/52, higher than the theoretical probability of 13/52.

Tristen Ferrell · Answer 2

The theoretical probability of choosing heart is 1/6 greater than the experimental probability of choosing heart