A 13-hand card is dealt from a well shuffled deck of 52 cards. What is the probability that the hand contains at least three cards from each of the four suits? What is the probability that the hand has either 5 spades or 5 diamonds or 5 hearts? What is the probability that the hand has either 6 hearts or 2 aces?

Q: What is the probability of rolling a 3 on a number cube and choosing a heart from a deck of cards?

A: Recall:  P(A and B)=P(A∩B)=P(A)×P(B)

Q: In a bag there are 6 white marbles and 16 black marbles. Four marbles are drawn without replacement.…

A: Hi! Thank you for the question! Since the question contains four subparts and we are allowed to…

Q: card is drawn from a standard deck of 52 playing cards. Find the probability that the card is an ace…

A: Total cards (T)= 52Heart cards (H)= 13Ace cards (A)= 4Heart and Ace cards (H and A)= 1

Q: Use the given data to find the minimum sample size required to estimate a population proportion or…

A:

Q: What is the probability that the card is a 4 given that it is a Number Card? What is the probability…

A: In a deck of 52 Cards,            There are 36 Number Cards & from which four are '4' Number…

Q: A card is chosen from a deck of 52 cards. It is put back in the deck and a second card is chosen.…

A: Solution: A standard deck of contains 4 ace cards and the number of cards numbered 5 are 4. Here,…

Q: A poker hand, consisting of 4 cards, is dealt from a standard deck of 52 cards. Find the probability…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: Two cards are drawn from a deck of 52 cards. The first card is replaced before drawing the second…

A: no.of black cards=26no.of Ace cards=4Total no.of cards=52

Q: A person has pulled out five cards all at once. What is the probability that the cards are two…

A: We know that There are 52 card in the deck in which they divided into two color i.e red(26) and…

Q: In a box, there are 8 orange, 7 blue, and 6 red balls. One ball is selected randomly. What is the…

A: number of orange ball in a box = 8 number of blue ball in a box = 7 number of red ball in a box = 6…

Q: Billy selects some cards from a standard 52 card deck.  What is the probability that he selects 1…

A: Given data: The total numbers of cards in the playing deck are n=52. The numbers of hearts are h=13.…

Q: basket contains 7 yellow apples and 4 red apples. Margo picks two apples without looking. a. What…

A:

Q: A card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a King or…

A: Given: Number of cards in a deck= 52 Number of Kings = 4 Number of Queens = 4 Number of Jacks = 4

Q: Compute the probability of drawing the King of hearts or a Queen from a deck of cards.

A: Given information: Total numbers of cards in the deck = 52 cards Number of kings of hearts in the…

Q: dealt a club from a 52 card deck

A:

Q: poker hand consisting of 9 cards is dealt from a standard deck of 52 cards. Find the probability…

A:

Q: random from a standard 52-card deck. What is the probability of drawing a black card or a 10?

A: Given that A card is drawn at random from a standard 52-card deck. Total number cards in a deck (n)…

Q: A person is dealt a 5 card hand. What is the probability that they get a pair of Queens or a pair of…

A: Total number of cards in a deck = 52 Number of kings = 4 Number of queens = 4 Number of cards drawn…

Q: What is the probability that all 3 cards are Queens?

A: Number of Queen cards = 4 Total number of cards = 52 Define some events A: first card is Queen B:…

Q: What is the probability of getting either a four or a five when drawing a single card from a deck of…

A:

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 yellow ​balls, 6 brown…

A: It is given that the number of yellow balls is 8, brown balls is 6 and black balls is 6.

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.