Homework answers / question archive / An experiment consists of dealing 6cards from a standard 52-card deck

An experiment consists of dealing 6cards from a standard 52-card deck

Math

Share With

---

An experiment consists of dealing 6cards from a standard 52-card deck. What is the probability of being dealt exactly 2 face cards? The probability of being dealt 2 face cards is _______?

If you are dealt 6 cards from a shuffled deck of 52 cards, find the probability of getting four queens and two kings. The probability is_________?

Personnel selection. Suppose that 8 female and 5 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 13 finalists, what is the probability of selecting

(A) 3 females and 2 males?

(B) 4 females and 1 male?

(C) 5 females?

(D) At least 4 females?

A standard 52-card deck has four 13-card suits: diamonds, hearts, clubs, and spades. The diamonds and hearts are red,

and the clubs and spades are black. Each 13-card suit contains cards numbered from 2 to 10, a jack, a queen, a king, and an ace. An experiment consists of drawing 1 card from the standard deck. Find the probability of drawing a red eight of clubs.

A single card is drawn from a standard 52-card deck. Find the conditional probability that the card is a diamond,

given that it is a queen. The probability that the card is a diamond is _______ and the probability that the card is a queen

is ________.

Two cards are drawn in succession from a standard 52-card deck. What is the probability that the first card is a club

and the second card is a diamond

(A)	If the cards are drawn without replacement?
(B)	If the cards are drawn with replacement?

A card is drawn at random from a standard 52-card deck. Events G and H are G=the drawn card is black H=the drawn card is divisible by 5 (face cards are not valued).

(A) Find P(H | G).

(B) Test H and G for independence.

Two balls are drawn in succession out of a box containing 3 red and 3 white balls. Find the probability that the second ball was red, given that the first ball was:

(A) replaced before the second draw.

 

(B) not replaced before the second draw.

Two balls are drawn in succession out of a box containing 2 red and

2 white balls. Find the probability that at least 1 ball was red, given that the first ball was

(A)	Replaced before the second draw.
(B)	Not replaced before the second draw.

An automobile manufacturer produces 55% of its cars at plant A. If 3% of the cars manufactured at plant A have defective emissions control devices, what is the probability that one of this manufacturer's cars was manufactured at plant A and has a defective emissions control device?