Page 140 - Data Science class 10
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Now, when you throw the coin up in the air, what is the chance of getting a head? Anybody will answer that the
probability is 50%, i.e. ½ or half? Similarly, the probability of getting a tale is 50%, i.e. again ½ or half. However, the
likelihood of getting a third side on a coin is NIL, as getting a third side on a coin with only two sides, the head and
tail, is impossible. Thus, in this case, the probability is zero.
The distribution of an event includes all potential values in addition to the input values that are visible. The
following table will provide the distribution of the coin-tossing event:
Event Outcome Probability
Head 50% or 0.5
Tail 50% or 0.5
Other possibility Zero or 0
There is a 0.5 probability of getting the head. Getting the tail has a 0.5 probability, and so forth. When the sum
of probabilities equals 1% to 100%, you can be certain that you have used all possible values. The probability of
occurring for all other values besides this is zero.
Tossing a Coin
0.6
0.5
0.4
0.3
0.2
0.1
0
H e a d l i a T
Tossing a coin
This type of distribution is called as a Uniform Distribution.
However, it's important to keep in mind that in statistics, distribution is determined by underlying probabilities,
not by the graph, which is just a visual depiction. In the previous class, we had covered the topic of data
visualisation.
Let's extend the tossing of a coin example to include tossing two coins. The possible outcomes are Head-Head,
Head-Tail, Tail-Tail, and Tail-Head, which are simple to predict. All possible combinations are shown in the following
table:
Event Outcome Probability
Head-Head .25
Head-Tail .25
Tail-Head .25
Tail-Tail .25
Other possibility 0
By looking at the graph, we can understand that the probability of getting a head on both coins is 0.25. Similarly,
the probability of getting the head on one coin and the tail on another is 0.25. The probability of getting the tail on
one coin and the head on another coin is 0.25. And the probability of getting the tail on both coins is 0.25.
138 Touchpad Data Science-X

