Cards, Dice, and Students Determine whether these events are mutually exclusive: a. Draw a card: get a spade and get a 6 b. Roll a die: get a prime number (2, 3, 5) c. Roll two dice: get a sum of 7 or get a sum that is an 3. even number d. Select a student at random in your class: get a male or get a sophomore 4-22

Q: A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor…

A: A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor…

Q: Find the probability of obtaining the given 5-card poker hand. full house: three of a kind together…

A: 5 card hand selected from 52 cards in deck.  P(full house) = ?

Q: You Roll two fair dice, one white and one red. Find P(5 on white die and 3 on red die)

A: Given information Two fair dice One white and one red

Q: Suppose you play a coin toss game in which you win $1 if a head appears and lose $1 if a tail…

A: Given: It is given that heads come up 37 times and tails come up 63 times in the first 100 coin…

Q: One card is randomly selected from a deck of cards. Find the odds against drawing a black four.

A: There are 52 cards in the standard deck card. There are 26 black cards out of 52 cards that are from…

Q: A fair coin was rolled 6 times with each outcome either head or tail. How many possible outcomes for…

A: The step by step solution of the given problem is as follows:

Q: A game of chance involves rolling a standard, six-sided die. The amount of money the player wins…

A:

Q: A. Explain why the suits within a deck of cards are mutually exclusive B. Find the probability of…

A: A. Mutually exclusive events are those events that cannot occur together in a single trial.  In a…

Q: Allottery exists where balls numbered 1 to 20 are placed in an urn to win. You must match the four…

A: Given information:A lottery involves balls numbered from 1 to 20 placed in an urn.Total number of…

Q: Find the odds in favor of obtaining the following outcome. a jack when drawing 1 card from an…

A:

Q: An urn contains nine ​red, seven white, and five blue marbles. Three marbles are selected at random…

A: It is given that, An Urn contain nine red, seven white and five blue marbles. Total number of…

Q: Kaitlin has a bag with 8 balls numbered 1 through 8. She is playing a game of chance. This game is…

A:

Q: One card is randomly selected from a deck of cards. Find the odds against drawing a seven

A: Since we know that A deck contain 52 cards Number of seven cards = 4 Number of non-seven card = 52 -…

Q: A spinner with number 1, 2, 3, 4, 5, 6, and 7 has an equal chance of landing on each number.  Find p…

A:

Q: You toss a pair of dice.Determine the number of possible pairs of outcomes. (Recall that there are…

A: A pair of dice is tossed. Each die has 6 possible outcomes i.e 1,2,3,4,5,6

Q: A basket contains four apples, four peaches, and four pears. You randomly select a piece of fruit.…

A: Number of Apples, n(A)= 4 Number of peaches, n(Pch)= 4 Number of pears, n(pr)= 4 Total fruits , n=…

Q: In Iowa license plates have a group of 3 numbers and 3 letters. The plates can either start with…

A: Given information: In Iowa license plates have a group of 3 numbers and 3 letters. The plates can…

Q: You are playing Dungeons & Dragons with friends and have to roll 6-sided dice to decide how events…

A: We have to roll a dice and find out the odds of the given events.

Q: A pair of dice is rolled. What is the probability of getting a sum of 12? What is the probability of…

A: From the provided information, A pair of dice is rolled. Total outcomes = 6 × 6 = 36

Q: The probability of being dealt the king of hearts is (Type an integer or a simplified fraction.)

A: There are 52 cards in the deck divided into two colour i.e red(26) and black (26). These black cards…

Q: 10 coin flips yield heads or tails. Which outcomes have at most four tails?

A: 10 coin flips yield heads or tails.  Each coin have two possible outcomes head or tail. So Total…

Q: You are playing Dungeons & Dragons with friends and have to roll 6-sided dice to decide how events…

A: We have to find the odd for given events in case of rolling two dice.

Q: A committee of four is chosen from six accountants and eight actuaries. Find the probability that…

A: We have given that Number of Accountant = 6 Number of Actuaries = 8 Total number of people = 8+6 =…

Q: How many outcomes are possible when you roll 3 dice?

A: Here, we need to find out the total possible outcomes to roll 3 dice.

Q: Two cards are drawn. After the first card is drawn and recorded it is put back in the deck. Then a…

A: General formula of probability is ,  Probability = Number of favorable outcomes Total outcomes…

Q: Two dice are thrown together. What are the chances of: a Number of dice 3 or 6, and The first die…

A: When two dice are thrown there are 36 possible cases A number 3 occurs as{…

Q: A game uses a single 6-sided die. To play the game, the die is rolled one time, with the following…

A:

Q: A slot machine has 3 dials. Each dial has 30 positions,one of which is "jackpot". To win the jackpot…

A: We need to recall that odds of winning the jackpot is given by: probability of winning the…

Q: Five people (Alex, Byron, Chloe, Dexter, and Emily) form a club, N = {A, B, C, D, E). Chloe and…

A: Five people (Alex, Byron, Chloe, Dexter and Emily) form a club N = { A,B,C,D,E }