A card is drawn from a standard deck of 52 cards. What is the theoretical probability, as a decimal, of drawing a number 8? Round the decimal to the nearest hundredth.

Given:

A card is drawn from a standard deck of 52 cards. 

Determine the probability as a decimal of drawing a number 8.

Solution:

The probability of drawing a number 8 can be solve by dividing the total number of 8's in the deck of cards by the total number of card. Since there are four 8's in the deck of cards, then we will divide 8 by 52.

= 8/52

= 0.1538

Now it is stated in the given condition that we need to round the decimal answer to the nearest hundredth, which is located in 2 place values. Hence, in rounding numbers, it must be taken to note that if the number is greater than or equal to 5 then the succeeding number will be added by 1, hence if the number is less than 5, then the succeeding number will remain the same. The hundredths place is 5, and before 5 we have 3 which is less than 5, therefore we will retain the number as it is,

= 0.15

Final answer:

The probability of drawing a number 8 is 0.15