If you toss 5 fair coins, in how many ways can you obtain at least one tail
Q: A coin is flipped ten times, resulting in either heads or tails on each flip. How many outcomes…
A: A coin is flipped ten times, resulting in either heads or tails on each flip. How many outcomes…
Q: You need to choose 4 random digits to create a 4-digit code for the lock on the safe. 0000 and…
A: The lock consist of 4 digit code 1st 2nd 3rd 4th The first place can be filled in 10 ways by…
Q: 3) Describe a scenario involving pulling two consecutive cards from a deck that would be considered…
A: A deck has 52 cards. An event will be called dependent to another event if the probability of its…
Q: In how many ways can you 9 players be choosen from a team with 14 members?
A: Given:Total number of members in the team, n = 14.Number of players to be selected, r = 9.
Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…
A: From the above data We are given that Total number of cards = n =52 No of selected cards = r =3
Q: How many possible combinations are there if there are 6 players and each player can either have 2…
A: We have given, Total number of players are n=6. And each player have 2 possible outcomes i.e. r=2.
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Q: 5. A bag contains 20 identical red balls, 20 identical blue balls, 20 identical green balls, and one…
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Q: There are four oranges, five pineapples, and t juice using only two fruits of different types. make…
A: Given: Number of oranges = 4 Number of pineapples = 5 Number of mangoes = 3 Total number of fruits =…
Q: Suppose that a class of 20 students is assigned to write an essay. Suppose 3 essays are…
A: Total number of students = 20 Total number of groups of selecting 3 essays can be obtained as:
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: If 4 coins are tossed, in how many ways can they fall?
A: Each coin has two possible outcomes - heads or tails. H = Heads, T = Tails Each of the 4 tosses…
Q: You are a professor of journalism and have 14 students in your class. You tend to call on students…
A: It is given that, There are 14 students in your class. professors can choose 6 students during your…
Q: A person tossed a coin 8 times. In how many ways can he get 5 tails?
A: Given information- We have given that a person tossed a coin 8 times. We have to find the number of…
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A: Given, Number of males = 8 Number of females = 11 The objective is to find how many different…
Q: You are dealt five cards from a standard deck of 52 cards. How many of these hands have at least one…
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Q: A penny collection contains twelve 1967 pennies, seven 1968 pennies, and eleven 1971 pennies. If you…
A: Generalized pigeonhole principle For any function f form a finite set X with n elements to a finte…
Q: A person is playing a card game in which they receive 3 cards from a dealer. If the order doesn't…
A: The answer is given as follows :
Q: At a baby shower 17 guests are in attendance and 5 of them are randomly selected to receive a door…
A: Combination Rule: The arrangement of r objects from n different objects is given by: nCr=n!r!n-r!
Q: A coin is tossed five times. In how many ways can it fall three heads and two tails?
A:
Q: Suppose we first roll a six-sided die, and then flip a fair coin as many times as the number on the…
A: Given that - Roll a six-sided die, and then flip a fair coin as many times as the number on the die.
Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…
A: Introduction: The dealer first picks 5 cards from the standard deck, then shuffles the 5 cards and…
Q: Out of 6 children, in how many ways can a family have at least 1 girl?
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Q: A coin is flipped ten times, resulting in either heads or tails on each flip. How many outcomes…
A: A coin is flipped ten times resulting in either heads or tails on each flip Then how many outcomes…
Q: In a standard deck of 52 cards, there are 4 suits (Spades, Hearts, Clubs, Diamonds) and 13 cards in…
A: The inclusion-exclusion principle is used to find the number of elements in the union of finite…
Q: How many ways can 7 out of 15 patients with the same illness be randomly selected to receive an…
A: The question is asking for the number of ways to choose 7 patients out of 15. This is a problem of…
Q: Suppose you have 11 books and you randomly pick 4 to take on vacation with you. How many ways can…
A:
Q: You are teaching a math class, and have seventeen students who are so hard-working and invested, you…
A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…
Q: Find the number of ways of getting at least a pair when randomly getting nine cards from a standard…
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Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…
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Q: f the coin is flipped 100 times, how many times would you predict that the coin lands on heads in…
A: Let us assume the probability of head of the coin=pThe coin is tossed 100 times.So the expected…
Q: A woman wants to select 5 pair of shoes from six pairs of red shoes, 4 pairs of white shoes and 3…
A: Pair of shoes women want is 5. Pair of red shoes is 6. Pair of white shoes is 4. Pair of black shoes…
Q: marching band consists of 11 pipers and 12 drummers. Three of them are selected to march in order…
A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…
Q: You are a professor of journalism and have 14 students in your class. How many ways can you line up…
A: Given,total no.of students=14
Q: A 5-card hand is dealt from a well-shuffled deck of 52 cards. How many ways are there to get a hand…
A: GivenThe number of cards in one deck of cards =52The number of cards in a hand =5 The number of…
Q: 40 Ponzi schemers are on the government's hit-list. In how many ways can the government name 3 of…
A: Solution-: There are 40 Ponzi schemers are on the government's hit-list. Top most 3 evil Ponzi…
Q: How many different 5 card hands have three of a kind (3 cards if one kind, 1 card of a second kind,…
A: Introduction: The total number of ways in which a 5-card hand can be dealt from the standard 52-card…
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- In how many ways one can select a group of three students out of 6 boys and 4girls. If a group contains: (a) two boys and one girl (b) two girls (c) At most one boy.Will play a two-player game, for which we say the numbers from 1 up to 25 in increasing order without skipping any number. One player can say one, two, three or four numbers per turn before the next player's turn which can do the same thing. The game continues and the one who say the number "25" loses the game. Is it better to be the first player or the second player? What is the winning strategy if there's anyIn order to conduct an experiment, 5 subjects are randomly selected from a group of 50 subjects. How many different groups of 5 subjects are possible? the number of possible different groups is
- If you flip a coin five times, how many ways can the coin land on tails at least three times?4. How many cards must you pick from a standard 52-card deck to be sure of getting at least 1 red card? Why?Find the Combination 11. From a standard deck of 52 cards, how many six-hand cards possible if there are at least three aces and three other cards? 2. Thirteen students apply for three scholarship slots. In how many ways can the scholarship be awarded?
- A teacher will randomly award three students with extra credit. How many possible ways can the teacher pick these three students from a class of 20 students?Suppose you have 11 books and you randomly pick 3 to take on vacation with you. How many ways can you do this?A shipment of 40 computers are unloaded from the van and tested. 6 of them are defective. In how many ways can we select a set of 5 computers and get at least one defective?
- when playing yahtzee you roll five regular 6 sided dice. how many diffrent outcomes are possible from a single roll? the order of the dice does not matter when playing super yahtzee you roll 4 regular 5 sided dice. now how any diffrent outcomes are possible from a single rollImagine you draw a marble from a bag with one green, one red, one blue, and one purple marble 9 times. You replace the marble you drew every time. You record the color each time you draw. How many outcomes are possible?