Question

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.

Homework Answers

Answer #1

Sol : Given

Two cards are drawn from a standard deck of 52 cards without replacement

Probability of choosing a jack for the first card

Jack is 4 out of 52 cards

Probability that first card is jack = 4/52

One card is drawn there are 51 remaining in the deck

Probability that second card is a face card

There are 12 face cards total in the standard deck of cards

Therefore

Probability that the second card is a face card = 12/51

As there are 51 cards after first card is drawn

Probability that choosing a face card for the second card drawn,if the first card drawn without a replacement was a jack

= 4/52 * 12/51

= 48/2652

= 0.0180995475.

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
Suppose two cards are drawn in succession (without replacement) from a standard deck of cards. What...
Suppose two cards are drawn in succession (without replacement) from a standard deck of cards. What is the probability that a face card is drawn first? (Enter your probability as a fraction.) What is the probability that a face card is drawn second, given that a face card was drawn first? (Enter your probability as a fraction.) What is the probability of drawing two cards in succession (without replacement) from a standard deck and having them both be face cards?...
Three cards are drawn with replacement from a standard deck. What is the probability that the...
Three cards are drawn with replacement from a standard deck. What is the probability that the first card will be a diamond, the second card will be a black card, and the third card will be an ace? Express your answer as a fraction or a decimal number rounded to four decimal places.
Three cards are drawn with replacement from a standard deck. What is the probability that the...
Three cards are drawn with replacement from a standard deck. What is the probability that the first card will be a heart, the second card will be a red card, and the third card will be a queen? Express your answer as a fraction or a decimal number rounded to four decimal places.
5 cards are drawn from a standard deck without replacement. What is the probability that at...
5 cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards drawn is a spade? Express your answer as a fraction or a decimal number rounded to four decimal places.
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.
Three cards are drawn with replacement from a standard deck of 5252 cards. Find the the...
Three cards are drawn with replacement from a standard deck of 5252 cards. Find the the probability that the first card will be a diamond, the second card will be a red card, and the third card will be a ten. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
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...
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 drawn without replacement from a well shuffled deck of cards. Let H1 be...
Two cards are drawn without replacement from a well shuffled deck of cards. Let H1 be the event that a heart is drawn first and H2 be the event that a heart is drawn second. The same tree diagram will be useful for the following four questions. (Note that there are 52 cards in a deck, 13 of which are hearts) (a) Construct and label a tree diagram that depicts this experiment. (b) What is the probability that the first...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT