Six coins are tossed to decide a result for either “C” or “S”. Assuming that the coins are fair, and that the results of the tosses are independent, calculate the probability that all the tosses are in favour of “C”.
How is the probability calculated? This is an example of mathematics in real life events that has the potential to affect the
So, what does it mean that the coins are “fair”? It means that the probability of getting a “heads” is the same as the probability of getting a “tails”, which means ½ for each.
Coin toss results can be “heads” or “tails”. These are examples of events. An event is something that can happen or not happen, and we associate a probability with it. The probability is a number that indicates how likely the event happens. It is between 0 and 1 inclusive. Zero probability means a practically impossible event. A probability of 1 means a practically certain event. [The reason for me using the word “practically” is technical, which I shall not discuss.] If the events do not affect one another (i.e. in our case, the coin tosses are not affected by the other coin tosses) then the events are said to be independent. If the events are independent, then we can simply multiply the individual probabilites together, as above. If the events are dependent, the calculation would be more complicated.