Question

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.

Answer 1

We know that in a standard deck of 52 cards there are 4 suits and each suit has one card with the number 8. Thus, 4 suits will have 4 cards with the number 8. Therefore, the total number of events in the sample space is 52 and the total number of favorable events is 4.

Thus, if a card is drawn from a standard deck of 52 cards, the theoretical probability of drawing a number 8 is given by:

$P(8)=\frac{4}{52} \approx0.077$

Thus, round the decimal to the nearest hundredth, the theoretical probability of drawing a number 8 from a standard deck of 52 cards is given by 0.08.