Question

7. A standard 52 card deck is being used in an exciting experiment! A card is...

7.

A standard 52 card deck is being used in an exciting experiment! A card is drawn randomly from the deck, its

information is recorded, then the card is returned to the deck and it is thoroughly shuffled.

(a) Determine the probability that if we perform this process 6 times, we get exactly 3 diamonds, and exactly 1 spade.

(b) If we repeat this experiment 11 times, what is the probability that we get three times as many clubs as hearts. (c) Determine the probability that if this process is repeated 5 times, there will be exactly 2 diamonds drawn,

and at most 1 jack.
(d) Suppose we repeat this experiment 7 times. Determine the probability that we draw exactly 3 clubs and

exactly 1 heart, if we know that we drew exactly 2 red cards.

Homework Answers

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
A standard 52 card deck is being used in an exciting experiment! A card is drawn...
A standard 52 card deck is being used in an exciting experiment! A card is drawn randomly from the deck, its information is recorded, then the card is returned to the deck and it is thoroughly shuffled. (a) Determine the probability that if we perform this process 6 times, we get exactly 3 diamonds, and exactly 1 spade. (b) If we repeat this experiment 11 times, what is the probability that we get three times as many clubs as hearts....
I choose a card at random from a well-shuffled deck of 52 cards. There is a...
I choose a card at random from a well-shuffled deck of 52 cards. There is a 1/4 probability that the card is chosen is a spade, a 1/4 probability that the card is a heart, a 1/4 probability that the card is a diamond, and a 1/4 probability that the card is a club. Both spades and clubs are black cards, whereas hearts and diamonds are red. What are the events of the card is a heart and a card...
An experiment consists of selecting a card from a standard deck of 52 cards, noting whether...
An experiment consists of selecting a card from a standard deck of 52 cards, noting whether or not the card is an Face Card (Jack, Queen or King) and returning the card to the deck. This experiment is repeated 10 times. Let X be the random variable representing how many times out of the 10 you observe a Face Card. Suppose that you repeat the experiment 5070 times. Let Y be the random variable representing the number of Face Cards...
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...
In a standard deck of 52 playing cards there are 4 suits: clubs, diamonds, hearts, and...
In a standard deck of 52 playing cards there are 4 suits: clubs, diamonds, hearts, and spades. To play a game, four players are each dealt 13 cards, one at a time, from the deck. Identify the correct experiment, trial, and outcome below: Select all that apply: The experiment is dealing a card. The experiment is identifying whether a player has been dealt a club, diamond, heart, or spade. A trial is the dealing of one card. The trial is...
A deck of cards has 52 cards with 4 suits (Hearts, Diamonds, Spades, and Clubs) and...
A deck of cards has 52 cards with 4 suits (Hearts, Diamonds, Spades, and Clubs) and 13 cards in each suit (Ace thru 10, Jack, Queen, and King; the last three are considered face cards). A card is drawn at random from a standard 52-card deck.   What is the probability that the card is a number card given the card is black (Spades and Clubs)? Group of answer choices 6/26 1 - 10/26 20/52 10/13
In a standard 52 card deck of playing cards, each card has one of four suits:...
In a standard 52 card deck of playing cards, each card has one of four suits: spades, heart, club, or diamond. There are 13 cards of each suit. Alison thoroughly shuffles a standard deck, draws a card, then returns it to the deck, and shuffles again. She repeats this process until she has drawn 9 cards. Find the probability that she draws at most 3 spade cards, Use Excel to find the probability.
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...
1.Suppose that you randomly draw one card from a standard deck of 52 cards. After writing...
1.Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace the card, and draw another card. You repeat this process until you have drawn 18 cards in all. What is the probability of drawing at least 5 diamonds? 2.For the experiment above, let ? X denote the number of diamonds that are drawn. For this random variable, find its expected value and standard deviation. ?(?)= σ =