Question

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.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

While drawing three cards with replacement from a standard deck,

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

= P( first card is diamond but not ace, second card is black but not ace, third card is ace) + P( first card is diamond but not ace, second card is black and ace, third card is ace) + P( first card is diamond and ace, second card is black but not ace, third card is ace) + ( first card is diamond and ace, second card is black and ace, third card is ace)

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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.
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.
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.
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.
Three cards are drawn from a deck without replacement. Find the probability the first card is...
Three cards are drawn from a deck without replacement. Find the probability the first card is a club, the second card is a heart, and the third card is a black card. Let A = 1st club Let B = 2nd heart Let C = 3rd black card P( 1st club and 2nd heart and 3rd black card ) Write Answer as a Fraction (Not Simplified) Write Answer as a Percent Round to Two Decimal Places =
Two cards are drawn from a regular deck of 52 cards, without replacement. What is the...
Two cards are drawn from a regular deck of 52 cards, without replacement. What is the probability that the first card is an ace of clubs and the second is black? Answer: A card is drawn from a regular deck of 52 cards and is then put back in the deck. A second card is drawn. What is the probability that: (a) The first card is red. (b) The second card is hearts given that the first is red. (c)...
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?...
A card is drawn from a standard deck of playing cards. Find the probability: a) the...
A card is drawn from a standard deck of playing cards. Find the probability: a) the card drawn is an ace, b) the card drawn is a diamond, c) the card drawn is a diamond, a heart, or a club.
Lacy draws a diamond from a standard deck of 52 cards. Without replacing the first card,...
Lacy draws a diamond from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card and gets a club. Are these events independent? Input Yes or No: Determine the probability of drawing a diamond and then a club without replacement. Write your answer in decimal form, rounded to four decimal places as needed. Answer = Linda draws a diamond from a standard deck of 52 cards. She returns the diamond to...
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT