Imagine that you have a coin and you are flipping it 10 times. After the 5th toss the coin has come up heads 5 times in a row. What is the probability that the coin will come up heads, again, on the 6th toss?
1/2
To find the probability of getting heads on the 6th toss, you need to consider the fact that each coin flip is an independent event. This means that the outcome of each flip does not depend on the previous flips. The coin itself does not have a memory, so previous outcomes do not affect the probability of future outcomes.
Therefore, the probability of getting heads on the 6th toss is the same as the probability of getting heads on any single toss of the coin. Assuming the coin is fair, meaning it has an equal chance of landing heads or tails, the probability of getting heads on any toss is 1/2 or 0.5.
To calculate the probability of getting heads on the 6th toss in this scenario, you do not need to consider the previous tosses since the likelihood of getting heads is always the same for each individual toss. Consequently, the probability of getting heads on the 6th toss is still 1/2 or 0.5.