Sage-Tips

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).

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.

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}.