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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 5/52 5/16 4/16 , and the difference of the experimental and theoretical probabilities of drawing a spade from a standard deck of cards is 1/16 1/4 1/52 .

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So what do you want to know?

the theoretical probability in order is: 1.75/52 , 12/16 , 7/52 (if you wanted to know it)

Answer: 1) Second option is correct.

2) First option is correct.

Step-by-step explanation:

Since we have given that

Total number of cards drawn = 16

Number of the cards are spades = 5

The experimental probability of drawing a spade is given by

[tex]\dfrac{\text{Number of spade cards}}{\text{Number of total cards}}\\\\=\dfrac{5}{16}[/tex]

Hence, Second option is correct.

As we know that total number of cards in a deck = 52

Number of spades in a deck = 13

So, Theoretical probability of getting a spade is given by

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

so, the difference between the theoretical and experimental probability is

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

Hence, First option is correct.

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