Question

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 .

Answer 1

Answer: The difference of the experimental and theoretical probabilities of drawing a spade is
`(1)/(16)`

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

`(5)/(16)`

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

`(13)/(52)\\\\=(1)/(4)`

So, Difference between experimental and theoretical probabilities would be

`(5)/(16)-(1)/(4)\\\\=(5-4)/(16)\\\\=(1)/(16)`