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what is the probability of flipping 3 coins

by Dr. Kenneth Schuster III Published 3 years ago Updated 3 years ago

So, since the probability of one coin flip being Heads is 1/2 (assuming a fair coin), the probability of 3 coins being Heads is (1/2)^3 or 1/8. The probability of Tails is exactly the same. So, 1/8 + 1/8 = 2/8 or 1/4.

Solution: When 3 coins are tossed, the possible outcomes are HHH, TTT, HTT, THT, TTH, THH, HTH, HHT. (i) Let E1 denotes the event of getting all tails. Hence the required probability is .

Full Answer

Is the probability of a coin flip really 50-50?

The answer to this is always going to be 50/50, or ½, or 50%. Every flip of the coin has an " independent probability ", meaning that the probability that the coin will come up heads or tails is only affected by the toss of the coin itself.

What is the possible outcome of flipping a coin?

  • Relative occurrence of an outcome is used to signify the ratio of the number of times that a particular outcome is obtained to the total number of times the random ...
  • On tossing a coin, the probability of each outcome is 1/2
  • P (Head) + P (Tail) = 1

What are the possible outcomes of flipping coins three times?

  • Probability
  • Probability
  • Random Experiments
  • Experimental Probability
  • Events in Probability
  • Empirical Probability
  • Coin Toss Probability
  • Probability of Tossing Two Coins
  • Probability of Tossing Three Coins
  • Complimentary Events

More items...

What is probability of getting tail on a coin?

0.97 is the probability of getting 1 Tail in 5 tosses. The ratio of successful events A = 5 to total number of possible combinations of sample space S = 32 is the probability of 1 tail in 5 coin tosses.

What is the probability of 3 coins flipping with all heads?

1 Expert Answer There are 8 possibilities when flipping three coins and the possibility of getting all heads is 1 out of 8.

What is the probability of tossing 3 tails with 3 coins?

1/8If three coins are flipped, the probability of getting exactly 3 tails is 1/8.

How many outcomes are there when flipping 3 coins?

The sample space of a sequence of three fair coin flips is all 23 possible sequences of outcomes: {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}.

What is the probability of flipping heads 3 times in a row?

1/8Answer: If a coin is tossed three times, the likelihood of obtaining three heads in a row is 1/8. Let's look into the possible outcomes. The total number of possible outcomes = 8.

What are the possible outcomes, when 3 coins are tossed simultaneously?

The possible outcomes are HTT, THT, TTH, THH, HTH, HHT, HHH, and TTT.

How many outcomes are there, when 3 coins are tossed simultaneously?

When 3 coins are tossed, the number of outcomes = 2 3 = 8.

What is the probability of getting all heads, when 3 coins are tossed simultaneously?

When 3 coins are tossed, the favourable outcome is HHH. So required probability = 1/8.

How to calculate probability of coin toss?

Let's look at a step-by-step example to see how to calculate the probability of an event using the coin toss probability calculator: 1 Determine your experiment. What are the two possibilities that can happen? Assign heads to one of them and tails to the other. 2 How many times are you going to repeat the experiment? Put that number as the number of flips in the calculator. 3 What do you want to achieve? An exact number of successful tries? At least a set number of successful tries? Or no more than a certain number of successful tries? Choose the correct option from the list. 4 How many successful (exact, at least, or at most) attempts you want to have? Put that number before heads. 5 (Optional) If your heads and tails don't have the same probability of happening, go into advanced mode, and set the right number in the new field. Remember that in classical probability, the likelihood cannot be smaller than 0 or larger than 1. 6 The coin flip probability calculator will automatically calculate the chance for your event to happen.

What is classical probability?

Classical probability. The probability of some event happening is a mathematical (numerical) representation of how likely it is to happen, where a probability of 1 means that an event will always happen, while a probability of 0 means that it will never happen. Classical probability problems often need to you find how often one outcome occurs ...

What is the probability of getting 6 when you roll the die?

Therefore, the probability of obtaining 6 when you roll the die is 1 / 6. The probability is the same for 3. Or 2. You get the drill. If you don't believe me, take a dice and roll it a few times and note the results. Remember that the more times you repeat an experiment, the more trustworthy the results.

How many possible outcomes are there in a 6 face die?

If you have a standard, 6-face die, then there are six possible outcomes, namely the numbers from 1 to 6. If it is a fair die, then the likelihood of each of these results is the same, i.e., 1 in 6 or 1 / 6. Therefore, the probability of obtaining 6 when you roll the die is 1 / 6. The probability is the same for 3.

Can money buy happiness?

You know how they say that money can't buy you happiness? Well, it's true that there are times where a coin is not enough if you want to count the likelihood of something happening. If your problem still falls under the umbrella of classical probability - meaning you can determine how many successful results there exist and how many possibilities there are in general - then the coin flip probability formula from the first section will work just fine. If you are looking for your chances of winning the lottery or surviving on a desert island, then things start to get more complicated than a simple coin toss probability. Check out our statistics section to help you out on your journey in the search of the most probable probability there can probably be!

Answer

Each coin has 2 outcomes when flipping (it may be head or tail), so the possibility to flip head is equal to possibility to flip tail and is .

New questions in Mathematics

Use the function f (x) = 4x2 + 8x − 5 to answer the questions. Part A: Completely factor f (x). (2 points) Part B: What are the x-intercepts of the grap …

Some Terms of Probability Theory

Experiment: An operation or trial done to produce an outcome is called an experiment.

Some Probability Formulas

Complementary rule: If there are two possible events of an experiment so the probability of one event will be the Complement of another event. For example – if A and B are two possible events, then

What is the probability of getting 3 heads on tossing a coin three times?

For this first we need to consider all the possible outcomes if we flip a coin 3 times.

image

Tossing of 3 Coins

Important Formulae

Fundamental Counting Theorem to Find The Probability

How to Find The Number of Possible Choices?

Probabilities of Tossing Coins

Probability of Tossing Or Flipping Three Coins Examples

  • Problem 1: When two of the unbiased coins are tossed, what is the probability of both showing head? Solution: As given in the question, No of unbiased coins are tossed = 2 The probability of showing both heads is P(E) = No of favourable outcomes/Total no of outcomes Total no of outcomes is represented with sample space (S) S = {HH, HT, TH, TT} n(S)...
See more on ccssmathanswers.com

How to Find The Probability of Tossing Coins?

Various Events of Tossing 3 Coins

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