Of the 16 cards drawn from a standard deck of 52 cards, 5 of the cards are spades. Based on the cards that were drawn, the experimental probability of drawing a spade is , and the difference of the experimental and theoretical probabilities of drawing a spade from a standard deck of cards is .

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Answer: The difference of the experimental and theoretical probabilities of drawing a spade is [tex]\dfrac{1}{16}[/tex]

Step-by-step explanation:

Since we have given that

Number of total cards = 16

Number of spade cards = 5

Probability of getting a spade among it is given by

[tex]\dfrac{5}{16}[/tex]

In general, we know that

Number of cards in a deck = 52

Total number of spades in a deck = 13

So, Probability of getting a spade is given by

[tex]\dfrac{13}{52}\\\\=\dfrac{1}{4}[/tex]

So, Difference between experimental and theoretical probabilities would be

[tex]\dfrac{5}{16}-\dfrac{1}{4}\\\\=\dfrac{5-4}{16}\\\\=\dfrac{1}{16}[/tex]