Question

Rihanna rolls a 4 sided fair die, then she selects at random, without replacement, as many...

Rihanna rolls a 4 sided fair die, then she selects at random, without replacement, as many cards from the deck as the number shown on the die. What is the probability that she gets at least one Queen? (In your solution, define the corresponding events and write down the given probabilities in terms of them. You do not need to simply your final answer.)

Recall: There are 52 cards in a deck, 4 different suits (Clubs, Spades, etc.) and 13 different denominations (Ace, Two, ..., King). Hint: Let Ni be the event that the number shown on the die is i, for i = 1, · · · , 4. Let Q be the event that she gets at least one Queen

Homework Answers

Answer #1

The solution to this problem is given below

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
How many ways are there to arrange a deck of 52 cards so that for each...
How many ways are there to arrange a deck of 52 cards so that for each suit, all cards of that suit are together? Recall that we have 13 ranks (Ace to King), and 4 suits (spades, hearts, diamonds and clubs)
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
How many possible 5-card poker hands are there that have exactly 3 jacks? Reminder: card decks...
How many possible 5-card poker hands are there that have exactly 3 jacks? Reminder: card decks have 52 total cards. There are 13 possible denominations of card (Ace, 2, 3, ..., 10, jack, queen, king) and 4 possible suits (clubs, diamonds, hearts, spades).
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...
As shown above, a classic deck of cards is made up of 52 cards, 26 are...
As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). If you select a card at random, what is the probability of getting: (Round to 4 decimal places where possible) a) A 9 of...
As shown above, a classic deck of cards is made up of 52 cards, 26 are...
As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). If you select a card at random, what is the probability of getting: 1) A(n) 8 of Heart s? 2) A Club or Spade?...
We are creating a new card game with a new deck. Unlike the normal deck that...
We are creating a new card game with a new deck. Unlike the normal deck that has 13 ranks (Ace through King) and 4 Suits (hearts, diamonds, spades, and clubs), our deck will be made up of the following. Each card will have: i) One rank from 1 to 15. ii) One of 5 different suits. Hence, there are 75 cards in the deck with 15 ranks for each of the 5 different suits, and none of the cards will...
A standard deck of cards contains 4 suits (Hearts, Diamonds, Spades, and Clubs) each containing 13...
A standard deck of cards contains 4 suits (Hearts, Diamonds, Spades, and Clubs) each containing 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) for a total of 52 cards. In a typical game of poker, you are dealt five cards (without replacement) from a deck of 52 cards. How many Full Houses are possible? (A full house is a hand consisting of three of one rank and two of another. For instance, three...
A deck of cards consists of 4 suits (clubs, spades, diamonds, hearts), each suit consisting of...
A deck of cards consists of 4 suits (clubs, spades, diamonds, hearts), each suit consisting of 13 values (ace, 2, 3, 4, 5, 6, 7, 8, 9, jack, queen, king). Four people are playing a game of cards and they are each dealt 13 cards randomly. We say that each person is dealt a hand of 13 cards. A suit distribution for a particular hand is a set of four integers, adding up to 13. How many possible hands are...
1) A 10-sided die is rolled infinitely many times. Let X be the number of rolls...
1) A 10-sided die is rolled infinitely many times. Let X be the number of rolls up to and including the first roll that comes up 2. What is Var(X)? Answer: 90.0 2) A 14-sided die is rolled infinitely many times. Let X be the sum of the first 75 rolls. What is Var(X)? Answer: 1218.75 3) A 17-sided die is rolled infinitely many times. Let X be the average of the first 61 die rolls. What is Var(X)? Answer:...