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 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 .

Answer 1

Answer: 1) Second option is correct.

2) First option is correct.

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

`\frac{\text{Number of spade cards}}{\text{Number of total cards}}\\\\=(5)/(16)`

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

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

so, the difference between the theoretical and experimental probability is

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

Hence, First option is correct.