# math

a student claims that if a fair coin is tossed and comes up heads 5 times in a row, then according to the law of averages the probability of tails on the next toss is greater than the probability of heads. What is your reply?

1. 👍
2. 👎
3. 👁
1. That each toss is independent and the probability of heads on the next toss is 0.5

1. 👍
2. 👎
2. the probability is that yes it would land on heads.

1. 👍
2. 👎
3. Believe Damon.

The probability of getting six heads in a row is very small ([1/2]^6 = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2). However, once you have tossed 5 heads in a row, the probability of getting a head on the sixth toss is still 1/2 = .5.

I hope this helps a little more.

1. 👍
2. 👎

## Similar Questions

1. ### math - probability

a) What is the probability of obtaining 2 Heads when a coin is tossed twice? b) What is the probability of obtaining 1 Head when a coin is tossed twice? Keep in mind, the coins are not tossed simultaneously.

2. ### Math

Seth tossed a fair coin five times and got five heads. The probability that the next toss will be a tail is

3. ### Statistics

You are shown a coin that its owner says is fair in the sense that it will produce the same number of heads and tails when flipped a very large number of times. Suppose you decide to flip a coin 100 times. a. What conclusion would

4. ### math

In which scenario do you use geometric distribution to solve? -Find the number of times a tossed coin lands on tails in 10 trials. -Determine the number trials to do to have a tossed coin land on tails 8 times. -Determine the

1. ### math

Coin A is tossed three times and coin B is tossed two times. What is the probability that more heads are tossed using coin A than coin B? THE ANSWER IS NOT 7/16

2. ### Prealgebra/probability

A coin is tossed three times. Use a tree diagram to find the number of possible outcomes that could produce exactly two heads. I don't know how to write out a tree diagram on here, but I think this one is heads -> heads, tails ->

3. ### Math

A biased coin lands heads with probabilty 2/3. The coin is tossed 3 times a) Given that there was at least one head in the three tosses, what is the probability that there were at least two heads? b) use your answer in a) to find

4. ### probability

You flip a fair coin (i.e., the probability of obtaining Heads is 1/2) three times. Assume that all sequences of coin flip results, of length 3, are equally likely. Determine the probability of each of the following events. {HHH}:

1. ### Math (statistics)

The probability of obtaining heads on a biased coin is 0.4. The coin is tossed 600 times. a. i. Write down the mean number of heads (240) ii. Find the standard deviation of the number of heads (12) b. Find the probability that the

2. ### math

A fair coin is tossed 10 times. What is the probability of getting exactly 6 heads?

3. ### Conditional Probability

Please refer to the illustration at screenshotsfirefoxcom/jZoizoMJf8a3H0UZ/ds055uzetaobbcloudfrontnet to help answer the following question: Zeb's coin box contains 8 fair, standard coins (heads and tails) and 1 coin which has

4. ### Algebra Probability

A coin is tossed twice. What is the probability of tossing heads, and then tails, given that the coin has already shown heads in the first toss?