1. if a coin is flipped 4 times, how many different sequences of heads and tails are possible?
Q: What is the probability of flipping 5 coins on the same side that getting either all heads or all…
A: Given No of possible outcomes by flipping 5coins together HHHTT TTTHH HHTTH…
Q: An unusual die has the numbers 4, 4, 5, 5, 7, and 7 on its six faces. Two of these dice are…
A: Given that the unusual die has faces 4, 4, 5, 5, 7 and 7. Two of the dice are rolled. The total…
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Q: How many sequences of outcomes are possible if one rolls two identical dice 10 successive times?
A: Solution : If n identical dice are rolled then possible outcomes are n+55 Therefore if two…
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A: If the probability of getting selected for each outcome is equal then such outcomes can be termed as…
Q: In a state's Pick 3 lottery game, you pay $1.12 to select a sequence of three digits (from 0 to…
A: In a Pick 3 lottery game, a person has to pay $1.12 to select a sequence of three digits from 0 to…
Q: 3. A fair coin is tossed four times, and the sequence of heads and tails is observed. a) List each…
A: A = {at least 3 heads}B = {at most 2 heads}C = {heads on the third toss}D = {1 head and 3 tails}
Q: What is the probability of getting the sequence hhhttt in six tosses of a coin? If you know the…
A: Introduction: Probability is a mathematical concept which deals with determining the chance of a…
Q: Approximate the probability that in 297 tosses of a fair die, we will obtain at most 115 fives.
A: Normal Approximation to Binomial distribution: If the random variable X follows Binomial(n, p),…
Q: 4. If you are to solve the probability of getting a sum of 3 in tossing two dice, which of the…
A: In the given problem we have to answer, If you are to solve the probability of getting a sum of 3…
Q: 12 babies are randomly selected selected, how many different gender sequences are possible?
A:
Q: An urn contains red, yellow and green balls. We will select 4 balls from the urn with replacement,…
A: Total number of possible outcomes = 81
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A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…
Q: A box contains 10 Red balls and 5 Blue balls. A person has been assigned to transfer 4 balls at…
A:
Q: A fair coin is tossed five times. Which sequence is more likely, HTTHH or HHHHH? Or are they equally…
A: From the given information, Sample space = {HHHHH, HHHHT, HHHTH,…………………..TTTTT} Probability of…
Q: Two dice are tossed 468468 times. How many times would you expect to get a sum of 5?
A: Given Information: Two dice are tossed 468 times. Number of combinations of tossing 2 dices =…
Q: In a game of musical chairs, 6 children will sit in 5 chairs arranged in a row (one will be left…
A: Here we will use the concept of permutations
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A:
Q: Shuffle a deck and observe each card starting from the top. The outcome of the experiment is an…
A: We use counting techniques when it is not practical to list down all possible outcomes of an event.
Q: 10. A lottery exists where balls numbered 1 to 23 are placed in an urn. To win, you must match the…
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Q: n is tossed 4 times, Find out the number of possible outcomes if only one tail will come ou
A: If we toss a fair coin, there are two possible outcomes for each trial that is "Head' and "Tail" .
Q: a) How many ways are there to roll a die seven times and obtain a sequence of outcomes with three…
A: (a)To find the number of ways to obtain a sequence of outcomes with three 1's, two 5's and two 6's:…
Q: How many sequences of n coin flips, wheren> 1/ contain no pair of consecutive heads (no HH) and no…
A: Solution
Q: Example 1. Let a coin be tossed 5 times; what is the probability of exactly 3 heads out of the 5…
A: Given: A coin is tossed 5 times. The probability of getting 3 Heads of 5 tosses can be done in many…
Q: You have the following numbers from zero to nine 1- How many single digits and tens of these numbers…
A: 1) From 0 to 9 there are 10 digits. We can select a single digit in 10 ways. When the unit digit…
Q: In a state's Pick 3 lottery game, you pay $1.48 to select a sequence of three digits (from 0 to…
A: In this question, a plays pick 3 lotter game, you need to pay $1.48 to select a sequence of three…
Q: Determine the probability that heads occurs for the third time on the 5th flip?
A: Given: Fair Coin is flipped 8 times and Head occurs third time on the 5th flip. As Head occurs the…
Q: Experiment: Selecting a single card from a standard playing deck. Which has 4 suits (Hearts, Clubs,…
A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
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- An urn contains red, yellow, and green balls. We will select 6 balls from the urn with replacement, and we will record the sequence (in order) of colors that we obtain. A typical sequence could be GYYGRG. How many outcomes are possible?Question 1 A box contains 10 Red balls and 5 Blue balls. A person has been assigned to transfer 4 balls at random to a second box one ball at a time. a) What is the probability that all the balls in the 2nd box are all blue balls? b) Given that 2 Red balls have been picked up, what is the probability that the next 2 balls will also be Red? c) What is probability that the sequence of the transferred balls is {Blue, Red, Blue, and Red}?A professor has 15 books. They wish to distribute 4 books each to their 3 favorite students (so 12 in total). How many ways are there to do this? (All 15 books have different contents. We don’t care about the order of distribution, only who gets which books in the end.)
- An experiment consists of tossing a coin seven times and observing the sequence of heads and tails1) How many different outcomes have at least five heads?2) How many different outcomes have at most four heads?How many ways are there to get a sum of 25 when 10 distinct dice are rolled?In a states pick 3 lottery game, you pay $1.43 to select a sequence of three digits (from 0 to 9) such as 133. If you select the same sequence of three digits that are drawn, you win and collect 470.92 how many different selections are possible?
- In a lottery game, 4 numbers are chosen at random. Each number can take a value 1, 2, 3, or 4, and each value is equally likely. The numbers are chosen independently of each other. Use the method of equally likely outcomes to answer the following question: Which sequence of numbers is more likely to be drawn in the lottery, 1-1-1-1 or 4-2-3-1? Group of answer choices They are equally likely 1-1-1-1 is more likely 4-2-3-1 is more likely1. Suppose a fair coin is tossed 5 times. (a) What is the probability that we observe the sequence H, T, H, H,T? (b) What is the probability that we observe exactly 3 heads? (c) If we know that 3 heads were obtained in 5 tosses, what is the probability of the sequence H, T, H, H, T?If 40 participants are randomly selected to 4 groups of 10, does the 40 comes first in the sequence: 40;20;10?
- b) Suppose you roll the dice repeatedly, and you will keep flipping it until you observe two total sixes, and then stop. What is the probability that it takes exactly 4 rolls to get your two sixes?1. Could you please give the right answer and explain it ?A coin is flipped 7 times where each flip comes up either heads or tails. How many possible outcomes contain at least five heads?