What is the probability of getting at least 3 heads in 10 tosses of a fair coin?

What is the probability of getting at least 3 heads in 10 tosses of a fair coin?

So the probability of exactly 3 heads in 10 tosses is 1201024. Remark: The idea can be substantially generalized.

How do you find the probability of 3 heads in a row?

Answer: 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 is the probability of getting 10 heads in a row?

a 1/1024 chance
Junho: According to probability, there is a 1/1024 chance of getting 10 consecutive heads (in a run of 10 flips in a row).

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What is the probability of getting at least 4 heads in 10 tosses of a fair coin?

The probability is approximately 20.51\%.

What is the probability of getting 3 tails in a row?

1/8
Answer: The probability of flipping a coin three times and getting 3 tails is 1/8.

What is the probability of a sequence having exactly three heads?

It is true that each sequence of heads and tails is equally likely to occur – with probability 1 64, in this case. However, the number of those sequences having exactly three heads is not 32, but ( 6 3) = 20, which leads to the correct answer of 5 16. They are two completely different things.

What is the probability of 3 heads when a coin is flipped?

6 fair coin flips: probability of exactly 3 heads. When a certain coin is flipped, the probability of heads is 0.5.

What is the number of outcomes with exactly 3 heads?

So the answer is 20 / 64 = 5 / 16. The error you made is thinking that “number of outcomes with exactly 3 heads” is equal to “half of the total number of outcomes of 6 tosses.” If this were the case then logically, “exactly 3 tails” must also be exactly half of the total outcomes.

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What is the probability that heads and tails are equally likely?

It is true that each sequence of heads and tails is equally likely to occur – with probability \\frac1 {64}, in this case. However, the number of those sequences having exactly three heads is not 32, but \\binom63=20, which leads to the correct answer of \\frac5 {16}.