# What is the probability of getting at least 3 heads in 6 tosses of a fair coin?

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## What is the probability of getting at least 3 heads in 6 tosses of a fair coin?

6!) = 1 way. Total of ways = 64, with 20 possible ways to toss exactly 3H and 20+15+6+1 = 42 ways to toss at least 3 heads. Probability of tossing at least 3H = 42/64 =21/32 = 0.65625 ~ 65.6\%.

### What is the probability of at least 3 heads?

1/4

N=3: To get 3 heads, means that one gets only one tail. This tail can be either the 1st coin, the 2nd coin, the 3rd, or the 4th coin. Thus there are only 4 outcomes which have three heads. The probability is 4/16 = 1/4.

**What is the probability that it lands on heads at least 3 times the probability of at least 3 heads is?**

Answer: If you flip a coin 3 times the probability of getting 3 heads is 0.125. When you flip a coin 3 times, then all the possibe 8 outcomes are HHH, THH, HTH, HHT, TTH, THT, HTT, TTT.

**What is the probability of getting at least one head in 6 coin toss?**

1063 in 1064

With 6 coins you times by 2 and minus by 1 again resulting in a 63 in 64 chance. To find the chance of getting at least one heads if you flip ten coins you times 64 by 2 four times or by 16 once and then minus 1, this results in a 1063 in 1064 chance of getting at least one heads.

## How many possible outcomes of 6 coins are flipped?

64 different possible outcomes

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 \frac{1}{64}.

### What is the probability of getting 3 heads when 4 fair coins are flipped?

So because you are interested in 4 outcomes out of the 16 possible outcomes, so the probability of getting 3 heads out of four flips is 4/16 or 1/4 or 0.25.

**What’s the probability of getting heads six times in a row?**

Total Number of Opportunities [Must be 170 or lower to avoid maxing out the calculator!] We find that the percentage odds of correctly calling the outcome of 6 coin tosses exactly 6 times by chance is 1.56\%, or rather, the odds are that this exact outcome will occur by chance just once in 64 opportunities.