# math

posted by .

if you are dealt 5 cards from a shuffled deck of 52 cards find the probability that all 5 cards are picture cards please show how to get the answer such 6!C! so i can understand

• math -

Question:
Do you consider an ace a "picture" card?

I will assume you only want the J, Q, and K
There are 12 of those
So the number of sets of 5 form those 12 = C(12,5)
Without restriction, the number of sets of 5 is C(52,5)
so the prob that your 5 cards are "picture" cards
= C(12,5)/C(52,5) = 792/259860 = .000305

If your interpretation is otherwise make the necessary changes.

## Similar Questions

1. ### statistics

you are dealt two cards successively(without Placement)from a shuffled deck of 52 playing cards .find the probability that both cards are black .express your answer as a simplified fraction.
2. ### math

you are dealt two cards successively(without Placement)from a shuffled deck of 52 playing cards .find the probability that both cards are black .express your answer as a simplified fraction.
3. ### Probability

If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are picture cards.
4. ### Trig

If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are picture cards.
5. ### Math

given a standard deck of 52 cards, 3 cards are dealt. If each card is replaced in the deck (and the deck is well shuffled) after being dealt answer the questions below. 1. If the first two cards are queens, what is the probability …
6. ### math

A deck of cards are shuffled 20 times. You are dealt 12 cards at random: what is the probability that all 12 cards are black?
7. ### math

A standard deck of playing cards had 52 cards. These cards are divided into four 13 card suits: diamonds, hearts, clubs, and spades. Find the probability of drawing a heart or a club at random from a deck of shuffled cards.
8. ### Math

Suppose two cards are drawn from a well-shuffled deck of 52-cards. What is the probability that both cards are face cards?
9. ### math

A standard deck of cards has 52 cards in it. The cards are divided into 4 suits or 13 cards each.If one draws two cards at random from the deck of cards what is the probability that they are of the same suit ?
10. ### math

A standard deck of cards has 52 cards in it. The cards are divided into 4 suits or 13 cards each.If one draws two cards at random from the deck of cards what is the probability that they are of the same suit ?

More Similar Questions