Experimental vs. Theoretical Probability Quiz Active TIME REMANING 24:10 A set o

Question

Experimental vs. Theoretical Probability Quiz Active TIME REMANING 24:10 A set of face cards contains 4 Jacks, 4 Queens, and 4 Kings. Carlie chooses a card from the set, records the type of card, and then replaces the card. She repeats this procedure a total of 60 times. Her results are shown in the table. Cards Type of Card ObservedRelative Frequency Frequency 24 Jack Queen 16 15 King 20 How does the experimental probability of choosing a Queen compare with the theoretical probability of choosing a Queen? The experimental probablity is 4 less than the theoretical probability The eynerimental nenhahilinu is 77 lass than the thenretical nropahilitv

Explanation / Answer

THE TOTAL CARDS WE HAVE = 12

THE TOTAL QUEEN CARDS WE HAVE = 4

THEREFORE THE THEORITICAL PROBABILITY OF QUEEN = 4/12 = 1/3 = 0.33

WHERE AS IN THE EXPERIMENT WE PICKED 60 CARDS

AND WE GET QUEEN ONLY 16 TIMES

THEREFORE THE PROBABILITY OF QUEEN IN THE EXPERIMENT = 16/60 = 4/15 = 0.26

THEREFORE THE DIFFERENCE BETWEEN THE TWO PROBABILITY = 1/15

HENCE WE CAN SAY THAT THE EXPERIMENT PROBABILITY IS 1/15 LESS THEN THE THEORITICAL FREQUENCY. HENCE OPTION B IS CORRECT

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