# Statistics

Three cards are drawn with replacement from a standard deck. What is the probability that the first card will be a spade, the second card will be a black card, and the third card will be a queen? Write your answer as a fraction or a decimal number rounded to three decimal places.

1. 👍
2. 👎
3. 👁
1. since you replace, then each trial is independent of the others.
1/4 * 1/2 * 4/52 = .0096153846
=.010 to three decimal place
or .00962 to three significant figures

1. 👍
2. 👎
2. Three cards are drawn with replacement from a standard deck. What is the probability that the first card will be a club, 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.

1. 👍
2. 👎

## Similar Questions

1. ### MATH Prob.

You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that both cards are black.

2. ### Geometry

What is the probability of drawing three red cards, one at a time without replacement, from a standard deck of 52 cards?

3. ### math

two cards are selected at random without replacement from a well-shuffled deck of 52 playing cards. find the probability of the given event. a. two cards of the same suit are drawn. b. a pair is not drawn.

4. ### Statistics

Two cards are drawn in succession from a deck without replacement. What is the probability that both cards are greater than 2 and less than 8?

1. ### Math

Three cards are drawn without replacement from an ordinary deck of 52 playing cards. What is the probability that the second and third cards are spades if the first card was not a spade? Answer: 36/52 18/26 9/13= 69%. Is this

2. ### Math

A standard deck of playing cards is shuffled and three people each choose a card. Find the probability that the first two cards chosen are clubs and the third card is black if the cards are chosen with replacement, and if the

3. ### math

Given a standard deck of 52 cards, what is the probability that two cards drawn at random will have the same rank? Note that first card drawn is not added back into the deck when the second card is drawn.

4. ### math

Two cards are drawn in succession without replacement from a standard deck of 52 cards. What is the probability that the first card is a spade given that the second card is a diamond? (Round your answer to three decimal places.)

1. ### math

-Three cards are drawn from a standard deck of cards without replacement. what is the probability that all three cards will be clubs f. 3/4 g. 11/850 h. 1/3 i. 36/153 please help....!!!!!

2. ### Probability

Five cards are drawn from an ordinary deck without replacement. Find the probability of getting a. All red cards b. All diamonds c. All aces

3. ### Precalculus

Four cards are randomly drawn from a standard deck of 52 cards. Find each probability. a. P(1 ace and 3 kings) b. P(2 odd and 2 face cards)

4. ### Math

Two cards are chosen at random from a standard deck of cards with replacement. What is the probability of getting 2 aces? Is is an independent events? If it is then would it be 2/52(chances of an ace) x 2/52?