Respuesta :
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]