Table of Contents
- 1 How many possible sequences are there where there are an equal number of heads and tails?
- 2 How many possible outcomes contain exactly three heads if the coin is flipped 10 times?
- 3 What is the probability of flipping a coin 10 times and getting heads exactly thrice?
- 4 How many possible outcomes can you get from flipping a coin?
- 5 How do you get 7 heads in 10 coin flips?
How many possible sequences are there where there are an equal number of heads and tails?
What is the probability that heads and tails occur an equal number of times? I’ve figured out that there are 64 possible outcomes (2 outcomes each flip, 6 flips =26=64) and that in order for there to be an equal number of heads and tails exactly 3 heads and 3 tails must occur.
When you flipped the coin ten times in your head how many heads did you get?
Example: When a coin is flipped 10 times, it landed on heads 6 times out of 10, or 60\% of the time. When a coin is flipped 100 times, it landed on heads 57 times out of 100, or 57\% of the time.
How many possible outcomes contain exactly three heads if the coin is flipped 10 times?
This turns out to be 120. So the probability of exactly 3 heads in 10 tosses is 1201024.
How many different sequences are possible when you flip a coin three times?
23 possible sequences
1. The sample space of a fair coin flip is {H, T}. 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 a coin 10 times and getting heads exactly thrice?
The probability of a streak of at least three straight heads (or tails) in ten flips is . 5078125, or exactly 65/128.
What is the probability that the sum of the dice is 10?
When you consider the sum being 10, there are only 3 combinations. So, the probability of getting a 10 would be 3/36 = 1/12.
How many possible outcomes can you get from flipping a coin?
The two comes as the number of possible outcomes of each flip, being the number of sides of the coin; and the twelve comes from the number of flips, being an exponent as each time the Well, one of course. But there may be 2 12 ‘versions’ of you which each find a different outcome.
What is the number of possible combinations of 10 different flips?
For ten flips, it’s 2^10… which is 1024. But there is a catch. As you are throwing only 10 times so maximum 10 different sequence can appear. If the same sequence appears more than once (Highly unlikely) then number of different sequence can be less than less than 10.
How do you get 7 heads in 10 coin flips?
In this system, the possible choices for labels are in bijective correspondence with the possible ways to get seven heads in ten coin flips. the combinations notation ( 10 7) = 10! 7! 3! accounts for the fact that if you have 7 heads you also have 3 non-heads. ( 10 7) ( 10 3) is effectively squaring the value that you need for that term.
How many equally likely outcomes are there in a coin toss?
If you take the outcome to be the particular sequence of heads and tails, then there are 2 10 = 1024 outcomes, all equally likely. This is because each toss of the coin is an independent event with two possible outcomes (“heads” or “tails”). There are 2^10 equally likely outcomes, this is 1024 outcomes.