2. If you roll a six-sided die 100 times, what is the probability that you roll exactly 16 2s and exactly 12 3s? If you draw 2 cards from a 52 card deck, what is the probability that they are both hearts?

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: Joe rolls a 6-die and Magdalena rolls an 8-die. What is the probability that Joe rolls a larger…

A: Given information: Joe rolls a 6-faced die. The possible numbers that are rolled by Joe are 1, 2, 3,…

Q: If two cards are drawn without replacement from an ordinary​ deck, find the probability of a king…

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Q: If you were to select one card randomly from a single deck of 52 card what is the probability of…

A:

Q: A jar contains 10 red marbles, 6 green marbles, and 13 blue marbles. What is the probability that…

A: Given A jar contains 10 red marbles, 6 green marbles, 13 blue marbles.

Q: John rolled a pair of dice. What is the probability that they would sum to 6?

A: In general, there are 36 possible outcomes when rolled a pair of balanced dice.

Q: A jar contains 20 berries, 14 sweet and 6 sour. If you pick a berry at random, what is the…

A: Given that, A jar contains 20 berries 14 sweet and 6 sour.

Q: Damon has 14 white socks, 6 black socks, and 4 blue socks in his drawer. If he chooses two socks at…

A:

Q: Suppose you are going to form a committee of students and faculty. You have 12 total students and 24…

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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 five-card poker hand is dealt from a standard deck of cards.  Find the probability of getting 2,…

A: There are 52 cards in a standard deck of cards. We can pick 5 cards from 52 cards in 52C5 ways.…

Q: 7 total students and 20 total faculty to pick from. You want to have 10 total people on the…

A: Given data: Total number of students = 7 Total number of faculty = 20 Number of people to be…

Q: jar contains 7 red marbles, 8 green marbles, and 4 blue marbles. What is the probability that you…

A:

Q: In a game with four players, each are dealt 13 cards from a standard 52 card deck. What is the…

A: Introduction: Each of the 4 players are dealt with 13 cards, evidently randomly, from the standard…

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: A bag contains 6 nickels, 2 dimes, and 3 quarters. If you draw 3 coins at random from the bag,…

A: The total number of the coin is = 6 + 2 + 3 = 11

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: I pick the 5 of hearts from a deck of cards.  If the 5 of hearts is not returned to the deck, what…

A: There are four 5s and 13 hearts in a deck of cards After drawing the 5 of hearts there will be…

Q: If two players play this game

A: Fair means The coin has to get a chance heads or tails is 50-50%. unfair coins having more chances…

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: Suppose a jar contains 6 blue, 3 green, and 2 red marbles. What is the probability of randomly…

A: total number of marbles in jar = 6+3+2 =1111 marbles = 6 blue + 3 green + 2 redselecting randomly 3…

Q: You are to draw two cards without replacing the first one. What is the probability of having a king…

A: Multiplication Rule for two Independent events:If the events A and B are said to be independent…

Q: There is a jar of coins sitting on the table in the center of the room. The jar contains 9 pennies,…

A: given data   jar contains : 9 - pennies    1 cent 12 - nickles  - 5 cent 10 - dimes  - 10 cent 5 -…

Q: A box has 18 blue hats and 30 red hats. If you pick 2 hats without replacement, what is the…

A:

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: If Stephen Curry made 272 3pt shots and attempted to make 600 shots what would be the probability?

A: We have given that Favourable outcomes = 272 Total outcomes = 600  Probability = favourable…

Q: A box has 20 green hats and 15 blue hats. If you pick 3 hats without replacement, what is the…

A: Given,no.of green hats=20no.of blue hats=15total no.of hats=35