Consider the experiment of selecting a card from an ordinary deck of 52 playing cards and determine the probability of the stated event. A face card or a 5 is drawn.

So there are 12 face cards. Plus 5. So that is 13 options out of 52?

aren't there four fives?

There are 12 face cards plus four cards with a "5" on them for a total of 16 cards out of 52. So you end up with 16 chances of 52 that you will draw a face card or a card with a five on it, or 16/52 chance. You should reduce the answer to a 4/13 chance.

I was wondering about that. Thank you both.

p(less than 5)

Yes, you are correct. To determine the probability of drawing a face card or a 5 from a deck of 52 playing cards, you need to calculate the number of favorable outcomes (cards that are either face cards or 5s) divided by the total number of possible outcomes (the entire deck).

First, let's determine the number of favorable outcomes:

1. Face cards: In a standard deck, there are 3 face cards (Jack, Queen, King) in each of the 4 suits (Hearts, Diamonds, Clubs, Spades). So, there are a total of 3 * 4 = 12 face cards.

2. Number 5: There is only one 5 in each of the 4 suits. So, there are a total of 4 * 1 = 4 number 5s.

Therefore, the number of favorable outcomes is 12 + 4 = 16.

Now, let's calculate the total number of possible outcomes:

In a standard deck, there are 52 cards.

Therefore, the total number of possible outcomes is 52.

Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = 16 / 52

Simplifying this fraction, we get:

Probability = 4 / 13

So, the probability of drawing a face card or a 5 from a standard deck of 52 playing cards is 4/13, or approximately 0.308 or 30.8%.