Question

lucy has a deck of 52 cards with four suits and each suit has cards numbered 1-13 whats the probability of picking a 4 from the deck in fraction form in simplest terms

Answer 1

To find the probability of picking a 4 from a standard deck of 52 cards, we first identify how many 4s are in the deck.

In a standard deck:
- There are 4 suits (hearts, diamonds, clubs, and spades).
- Each suit contains one card numbered 4.

Thus, there are a total of 4 cards that are 4s (one from each suit).

The probability \( P \) of picking a 4 can be calculated using the formula:

\[
P(\text{picking a 4}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{4}{52}
\]

Next, we simplify the fraction \( \frac{4}{52} \):

Both the numerator and denominator can be divided by 4:

\[
\frac{4 \div 4}{52 \div 4} = \frac{1}{13}
\]

So, the probability of picking a 4 from the deck in simplest terms is:

\[
\frac{1}{13}
\]