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A dice is thrown. Find the probability of getting an even number.
Given: A dice is thrown.
To do: To find the probability of getting an even number.
Solution:
There are $6$ possible outcomes $S=[1,\ 2,\ 3,\ 4,\ 5,\ 6]$
The event that we get that an even number on tossing the die can occur in 3 possible way
Let $E$ be the event to be prime number
$E=[2,\ 4,\ 6]$
$\therefore$ Probability of getting a prime number$=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$
$=\frac{3}{6}$
$=\frac{1}{2}$
Thus, the probability of getting a prime number is $\frac{1}{2}$.
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