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Bùi Ngọc Chi đang tìm kiếm từ khóa What is the probability of obtaining ten heads in a row when flipping a coin interpret this probability? được Cập Nhật vào lúc : 2022-09-30 18:10:27 . Với phương châm chia sẻ Kinh Nghiệm Hướng dẫn trong nội dung bài viết một cách Chi Tiết Mới Nhất. Nếu sau khi đọc Post vẫn ko hiểu thì hoàn toàn có thể lại phản hồi ở cuối bài để Mình lý giải và hướng dẫn lại nha.Probability is a part of mathematics that đơn hàng with the possibility of happening of events. It is to forecast that what are the possible chances that the events will occur or the sự kiện will not occur. The probability as a number lies between 0 and 1 only and can also be written in the form of a percentage or fraction. The probability of likely sự kiện A is often written as P(A). Here P shows the possibility and A shows the happening of an sự kiện. Similarly, the probability of any sự kiện is often written as P(). When the end outcome of an sự kiện is not confirmed we use the probabilities of certain outcomes—how likely they occur or what are the chances of their occurring.
Nội dung chính- If a coin is flipped
7 times, then what is the probability of getting 6 heads?Similar QuestionsGet StartedWhat is the probability of flipping heads 6 times in a row?What is the probability of obtaining in a row when flipping a coin?What is the probability of tossing a 6?What are the possible outcomes of flipping a coin 6 times?What is the probability of obtaining in a row when flipping a coin?What is the probability of obtaining 5 heads in a row when flipping a coin interpret this probability?Do a coin flip 10 times?When tossing a fair coin if heads comes up on each of the first 10 tosses What do you think the chance is that another head will come up on the next toss?
Nội dung chính
- If a coin is flipped 7
times, then what is the probability of getting 6 heads?Similar QuestionsGet StartedWhat is the probability of flipping heads 6 times in a row?What is the
probability of obtaining in a row when flipping a coin?What is the probability of tossing a 6?What are the possible outcomes of flipping a coin 6 times?
To understand probability more accurately we take an example as rolling a dice:
The possible outcomes are — 1, 2, 3, 4, 5, and 6.
The probability of getting any of the outcomes is 1/6. As the possibility of happening of an sự kiện is an equally likely sự kiện so there are same chances of getting any number in this case it is either 1/6 or 50/3%.
Formula of Probability
Probability of an sự kiện, P(A) = (Number of ways it can occur) ⁄ (Total number of outcomes)
Types of Events
- Equally Likely Events: After rolling dice, the probability of getting any of the likely events is 1/6. As the
sự kiện is an equally likely sự kiện so there is same possibility of getting any number in this case it is either 1/6 in fair dice rolling.Complementary Events: There is a possibility of only two outcomes which is an sự kiện will occur or not. Like a person will play or not play, buying a máy tính or not buying a máy tính, etc. are examples of complementary events.
If a coin is flipped 7 times, then what is the probability of getting 6 heads?
Solution:
Use the binomial distribution directly. Let us assume that the number of heads is represented by x (where a result of heads is regarded as success) and in this case X = 6
Assuming that the coin is unbiased, you have a probability of success ‘p’(where p is considered as success) is 1/2 and the probability of failure ‘q’ is 1/2(where q is considered as failure). The number of trials is represented by the letter ’n’ and for this question n = 7.
Now just use the probability function for a binomial distribution:
P(X = x) = nCxpxqn-x
Using the information in the problem we get
P(X = 6) = (7C6)(1/2)6(1/2)1
= 7 × 1/64 × 1/2
= 7/128
Hence, the probability of flipping a coin 7 times and getting heads 6 times is 7/128.
Similar Questions
Question 1: What is the probability of flipping a coin 20 times and getting 10 heads?
Answer:
Each coin can either land on heads or on tails, 2 choices.
(According to the binomial concept)
This gives us a total of 220 possibilities for flipping 20 coins.
Now how many ways can we get 10 heads? This is 20 choose 10, or (20C10)
This means our probability is (20C10)/220= 184756⁄1048576 ≈ .1762
Question 2: What is the probability of 6 heads in 6 coins tossed together.?
Solution:
6 coin tosses. This means,
Total observations = 36(According to binomial concept)
Required outcome → 6 Heads H,H,H,H,H,H
This can occur only ONCE!
Thus, required outcome = 1
Probability (6 Heads) = (1⁄2)6 = 1/64
Numerade
Betty H.
Intro Stats / AP Statistics 1 year, 2 months ago
1.What is the probability of obtaining ten heads in a row when flipping a coin? Interpret this probability. The probability of obtaining ten heads in a row when flipping a coin is ______? (Round to five decimal places as needed.) Interpret this probability. Consider the sự kiện of a coin being flipped ten times. If that sự kiện is repeated ten thousand different times, it is expected that the sự kiện would result in ten heads about _____ time(s). (Round to the nearest whole number as needed.) 2. A test to determine whether a certain antibody is present is 99.8% effective. This means that the test will accurately come back negative if the antibody is not present (in the testsubject) 99.8% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.002. Suppose the test is given to five randomly selected people who do not have the antibody. (a) What is the probability that the test comes back negative for all fivepeople? (b) What is the probability that the test comes back positive for least one of the fivepeople? 3. A golf ball is selected random from a golf bag. If the golf bag contains 7 red balls, 3 yellowballs, and 11 orange balls, find the probability of the following sự kiện. The probability golf ball is red or yellow is ____?
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1.What is the probability of obtaining ten heads in a row when flipping a coin? Interpret this probability. The probability of obtaining ten heads in a row when flipping a coin is ______? (Round to five decimal places as needed.) Interpret this probability. Consider the sự kiện of a coin being flipped ten times. If that sự kiện is repeated ten thousand different times, it is expected that the sự kiện would result in ten heads about _____ time(s). (Round to the nearest whole number as needed.) 2. A test to determine whether a certain antibody is present is 99.8% effective. This means that the test will accurately come back negative if the antibody is not present (in the testsubject) 99.8% of the time. The probability of a test coming back positive when the antibody is not present (a false positive) is 0.002. Suppose the test is given to five randomly selected people who do not have the antibody. (a) What is the probability that the test comes back negative for all fivepeople? (b) What is the probability that the test comes back positive for least one of the fivepeople? 3. A golf ball is selected random from a golf bag. If the golf bag contains 7 red balls, 3 yellowballs, and 11 orange balls, find the probability of the following sự kiện. The probability golf ball is red or yellow is ____?
Hello everyone we are going to solve vacation in this question we have three parts for the first one We have to find the probability of getting pinheads in a row. And also we have to find expected Well you when sự kiện is repeated When even this reputed 10,000 times. That means that N. is equals to 10,000. So starting with the solution of this as we know the probability of getting the head in it, throw of coin 0.5 Show the probability of getting 10 heads in a row Is equals to 0.5 raised to the power 10 which is equals to 0.00098. So this is the answer for the probability of getting 10 heads in a row. Now we calculate expected values. So expected number of events is equals two and multiplied by P. So here and it's 10,000 And PV calculated us 0.00098 Which is equals to 9.8 which is approximately 10 times. So this is the answer for expected value. Now in the second part of this question we are given This is our 2nd part. We are giving the probability of test is negative negative when antibody is not present it is not present And this is equals to 0.998. And the probability that the test is positive when antibody is not present and this is equals to 0.002. So in this we have to find two parts. In a part we have to find the probability the test comes negative four, five people. And in the second part, that is be part. We have to find the probability That least one positive test one positive. So now calculating this for a pot solving a part, we have to calculate the probability of this becomes negative for five people, four five people. So this is equals to 0.998 raised to the par five as there are five people. So this is equals to 0.99004. Now, in the second part, that is this is the answer for the air part. Now in the second part, that is be part we have to find probability of least one positive. So for now least one positive, this is equal to one minus probability not all not all positive Or we can see not all 1- the probability of not all negative. Here we have probability of not all positive or we can say not all here we have one minus all negative, we can say all negative. So the probability for all negative is this is 0.99004. When we calculated this, we found that this is equal to 0.00996 which is the answer for B Party. Now in 3rd question in 3rd question of this, we are given that there are golf balls and third we are given there are golf balls, seven bowls are led, seven red balls, three yellow And 11 Orange Balls. And we have to find probability of getting either red or yellow ball. So we are representing our our is here. Read in Y is yellow. So for solving this probability for red or yellow is equal to probability of red plus probability of yellow as there is nothing common in these balls. So this is equal to true probability of radius. There are seven red balls and total bowls 21 plus probability of yellow. There are three yellow balls and the total 21. This comes out to be 10, divided by 21 watches equals to 0.476, which is the final answer for this. Thank you.
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Sign Up Log inWhat is the probability of flipping heads 6 times in a row?
Hence, the probability of flipping a coin 7 times and getting heads 6 times is 7/128.
What is the probability of obtaining in a row when flipping a coin?
The probability of obtaining a tail on a flip is 12 . Therefore, the probability of obtaining four tails in a row when flipping a coin is 6.25%.
What is the probability of tossing a 6?
Explanation: There are only 6 sides on a die, and only 1 of them is 6, so there is a 16 chance of rolling a 6.
What are the possible outcomes of flipping a coin 6 times?
So this can happen in only one way while there are 2^6 = 64 different possible outcomes for the six coin tosses so the probability that f(6) = 6 is frac164.
What is the probability of obtaining in a row when flipping a coin?
Probability of getting a Head = 1/2. Tossing a coin is an independent sự kiện, it is not dependent on how many times it's been tossed. Probability of getting 2 heads in a row = probability of getting head first time×probability of getting head second time. Probability of getting 2 heads in a row = (1/2) × (1/2).What is the probability of obtaining 5 heads in a row when flipping a coin interpret this probability?
For 20 trials we obtain that the probability of throwing least five successive Heads is equal to 0.2499.Do a coin flip 10 times?
Based on the calculations we just did, you expect that if you toss a coin 10 times, it will land on heads 50% of the time.When tossing a fair coin if heads comes up on each of the first 10 tosses What do you think the chance is that another head will come up on the next toss?
The probability is approximately 20.51%. Tải thêm tài liệu liên quan đến nội dung bài viết What is the probability of obtaining ten heads in a row when flipping a coin interpret this probability?