Question

A standard deck of 52 cards contains 4 jacks, 4 queens, and 4 kings. Find the probability of randomly drawing either a jack or a king from the deck.
1)1/13
2)2/3
3)2/13
4)3/13

Answer 1

To find the probability of randomly drawing either a jack or a king from a standard deck of 52 cards, we first identify the total number of jacks and kings in the deck.

- Number of jacks in the deck = 4
- Number of kings in the deck = 4

Next, we add the number of jacks and kings:

\[
\text{Total jacks and kings} = 4 + 4 = 8
\]

Now, the probability of drawing either a jack or a king is given by the ratio of the number of favorable outcomes (jacks and kings) to the total number of possible outcomes (total cards in the deck):

\[
\text{Probability} = \frac{\text{Number of jacks and kings}}{\text{Total number of cards}} = \frac{8}{52}
\]

Simplifying the fraction:

\[
\frac{8}{52} = \frac{2}{13}
\]

Thus, the probability of randomly drawing either a jack or a king from the deck is:

\[
\boxed{\frac{2}{13}}
\]