Is Rolling a 6 on one die and rolling a 5 on another die Independent? or Is Drawing an ace on a first draw and then a king on the second draw, where the first card drawn is not replaced Independant?

Q: Consider a standard 52-card deck. Find the total number of ways of drawing (i) four-of-a-kind (4…

A: Combination: A combination is a selection of items from a group of items, where the order of…

Q: 3) Roll a fair die repeatedly; X represents the number of rolls it takes to get a six. X is…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: In how many ways can a hand of 8 diamonds be chosen from an ordinary deck?

A: No.of diamond cards in deck = 13

Q: How many ways are there to place two identical queens on an 8 × 8 chessboard s so that the queens…

A: Solution:First let us find the number of ways where two two identical queens are on the same row or…

Q: Suppose an urn contains red, green, blue, and black marbles. Suppose you draw marbles from the urn 5…

A: If an event with n different possibilities are repeated r number of times, then the number of…

Q: 5 cards are dealt from a standard deck of​ cards, how many different ways can three hearts and two…

A: Let 5 cards are dealt from a standard deck of​ cards. A standard deck of cards has 52 cards, out of…

Q: What if you have a six sided die and a spinner with five spaces.  How many possible outcomes are…

A: We have a six sided die and spinner with five spaces

Q: In how many ways can a hand of 4 diamonds be chosen from an ordinary deck?

A: The combination formula is given by

Q: 3. Five cards are dealt off of a standard 52-card deck and lined up in a row. How many such lineups…

A:

Q: why is the permutation odd?

A:

Q: How many five-card hands contain exactly four jacks or exactly four black cards?

A: Total cards in a deck = 52 Total Jacks = 4 Total black cards = 26

Q: How many Full Houses are possible using a standard deck of 52 playing cards with no Jokers?

A: There are total 52 cards in standard deck. Total 4 suits in deck of cards And each suit have 13 rank…

Q: How many five-card hands (drawn from a standard deck) contain exactly two queens? (A five-card hand…

A: We have to find out given probability..

Q: If a single card is drawn from a standard 52-card deck, in how   many ways could it be a black card…

A: Let us denote B=black and Q=queen  In a deck of cards there are 26 black cards. And 4 queens.  2 of…

Q: In how many ways can you draw a diamond or a face card from an ordinary deck of playing​ cards?

A: There are in all total 52 cards in an ordinary deck of playing cards. Out of which 13 are diamond…

Q: if a single card is drawn from a standard 52-card deck in how many ways could it be a heart or a…

A: The number of cards in deck is 52.

Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

A: Given information- This exercise refers to a standard deck of playing cards. Assume that 5 cards are…

Q: How many different ways are there of choosing four cards from a standard 52-card deck and arranging…

A:

Q: You draw two cards from a standard deck of 52 cards without replacing first one before drawing the…

A: Let the first event of drawing a 5 be denoted by A. Then the probability of drawing a 5 isPA=452=113…

Q: This exercise refers to a standard deck of playing cards. Assume that 5 cards are randomly chosen…

A: Number of cards in a deck are 52 Number of queen cards in a deck are 4. Number of cards being…

Q: How many five-card hands (drawn from a standard deck) contain exactly three nines? (A five-card hand…

A: There are 4 nines in a deck of 52 cards. We can select 3 nines in 4C3=4 ways.

Q: how many ways can a hand of 7 spades be chosen from an ordinary deck?

A: Given that  Ordinary deck of cards Number of ways of can a hand of 7 spades be chosen from ordinary…

Q: In Poker, how many ways are there to get a Straight Flush (5 cards of consecutive rank, same suit)…

A: Obtain the number of different poker hands that are flush as follows. A straight can begin with any…

Q: A you single card is drawn from a standard deck. What is the possibility of drawing a red card or a…

A: we have to find given probability...

Q: Five cards are selected out of 52. In how many different ways can this be done if: they contain the…

A: total cards are 52 cards.  they are 13 clubs , 13 spades , 13 hearts ,13 diamonds clubs and spades…

Q: A die is rolled six times and the order of the rolls is considered. In how many ways can three 2's,…

A: Given : A die is rolled six times and order is considered