Question

You are dealt two cards successively without replacement from a standard deck of 52 playing cards....

You are dealt two cards successively without replacement from a standard deck of 52 playing cards.

Find the probability that the first card is a king and the second card is a queen.

I want the probability that both events will occur. I do not want the probability of each event.

Homework Answers

Answer #1

There are 4 kings (Spade, Club, Diamond, Heart) and 4 queens (Spade, Club, Diamond, Heart) in deck of 52 cards.

Probability that first card is king = 4/52 = 1/13

Now there are 51 cards in deck                (Without replacement)

Probability that second card is queen = 4/51

Probability that the first card is a king and the second card is a queen

= (1/13) * (4/51)

= 0.0060               (Round to 4 decimal)

Probability that the first card is a king and the second card is a queen is 0.0060

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
11.3.47 Q13 Let two cards be dealt​ successively, without​ replacement, from a standard​ 52-card deck. Find...
11.3.47 Q13 Let two cards be dealt​ successively, without​ replacement, from a standard​ 52-card deck. Find the probability of the event. The first card is a ten and the second is a jack. The probability that the first card is a ten and the second is a jack is
Two cards are successively dealt from a deck of 52 cards. Let A be the event...
Two cards are successively dealt from a deck of 52 cards. Let A be the event “the first card is a king” and B be event “the second card is a ace.” Are these two events independent?
Two cards are drawn without replacement from a standard deck of 52 playing cards. What is...
Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a face card for the second card drawn, if the first card, drawn without replacement, was a jack? Express your answer as a fraction or a decimal number rounded to four decimal places.
The following question involves a standard deck of 52 playing cards. In such a deck of...
The following question involves a standard deck of 52 playing cards. In such a deck of cards there are four suits of 13 cards each. The four suits are: hearts, diamonds, clubs, and spades. The 26 cards included in hearts and diamonds are red. The 26 cards included in clubs and spades are black. The 13 cards in each suit are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This means there are four...
The following question involves a standard deck of 52 playing cards. In such a deck of...
The following question involves a standard deck of 52 playing cards. In such a deck of cards there are four suits of 13 cards each. The four suits are: hearts, diamonds, clubs, and spades. The 26 cards included in hearts and diamonds are red. The 26 cards included in clubs and spades are black. The 13 cards in each suit are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This means there are four...
Probabilities with a deck of cards. There are 52 cards in a standard deck of cards....
Probabilities with a deck of cards. There are 52 cards in a standard deck of cards. There are 4 suits (Clubs, Hearts, Diamonds, and Spades) and there are 13 cards in each suit. Clubs/Spades are black, Hearts/Diamonds are red. There are 12 face cards. Face cards are those with a Jack (J), King (K), or Queen (Q) on them. For this question, we will consider the Ace (A) card to be a number card (i.e., number 1). Then for each...
Cards are dealt, without replacement, from a stadnard 52 card deck. If the first 2 cards...
Cards are dealt, without replacement, from a stadnard 52 card deck. If the first 2 cards are both spades, what is the probability that the next 3 cards are diamonds?
Three cards are dealt from a deck of 52 playing cards. Find the probability that a...
Three cards are dealt from a deck of 52 playing cards. Find the probability that a 3 card hand consists of: a. All hearts ( Answer is P(13,3)) b. An Ace, King and Queen of the same suit (Answer is P(4)) c. A pair of 2s (Answer is C(4,2) x C(48,1) Need help setting up the problem
Two cards are drawn successively from an ordinary deck of 52 well-shuffled cards. Find the probability...
Two cards are drawn successively from an ordinary deck of 52 well-shuffled cards. Find the probability that a. the first card is not a Four of Clubs or an Five; b. the first card is an King but the second is not; c. at least one card is a Spade;
Statistics EXERCISE 15. Two cards are to be drawn without replacement from an ordinary deck of...
Statistics EXERCISE 15. Two cards are to be drawn without replacement from an ordinary deck of playing cards. What is the probability a) that the first card to be drawn is a queen and the second card is king? b) of drawing a combination of queen and king? c) that neither of the two cards will be queen? d) that neither of the two cards will be queen or a king? Answer. a) 16/2652. b)32/2352. c) 2256/2652. d) 1892/2652. Please...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT