Question

A fair coin is tossed 500 times, with head appearing 230 times and tail appearing 270 times. Compute the probability of each event.

Answer 1

This question is based on the concept of probability, probability means possibility, that is the extent to which something is likely to happen and the analysis of events governed by probability is called statistics.
Formula used: $= \dfrac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

Complete step-by-step solution:
As mentioned in the question,
The total number of events or outcomes (Here tossing of coin) = 500
Number of times, when head comes up $= 230$
Now, by putting the values in the formula above, we get:
The probability of getting head when the coin is randomly tossed $= \dfrac{{230}}{{500}}$
Number of times, when tails comes up $= 270$
The probability of getting tails when the coin is randomly tossed $= \dfrac{{270}}{{500}}$.

Additional information: There are two types of probability. One is theoretical probability which is based on the reasoning part. The second one is the experimental probability which is based on the observations of an experiment.

Note: One thing where many students make mistakes is that they get confused between “favourable outcome” and “desirable outcome”. We should be careful while solving these types of questions. The formula above is the basic formula but there are more formulae for different situations or events.