QUESTION 5
Easy
What is the probability of getting an even number when rolling a fair 6-sided die?
SOLUTION
When rolling a die, the possible outcomes are:
\(1, 2, 3, 4, 5, 6\)
The even numbers are: \(2, 4, 6\)
So,
Number of favourable outcomes \(= 3\)
Total number of outcomes \(= 6\)
Therefore, \(P({even\, number}) = \frac{Favourable\, outcomes}{Total \, outcomes} = \frac{3}{6} = \frac{1}{2}\) or \(0.5\)
\(1, 2, 3, 4, 5, 6\)
The even numbers are: \(2, 4, 6\)
So,
Number of favourable outcomes \(= 3\)
Total number of outcomes \(= 6\)
Therefore, \(P({even\, number}) = \frac{Favourable\, outcomes}{Total \, outcomes} = \frac{3}{6} = \frac{1}{2}\) or \(0.5\)
🏆
Final Answer : Probability of getting an even number \(= \frac{1}{2}\).
Concept Note
Probability measures how likely an event is to happen. For a fair die, all outcomes are equally likely. Even numbers on a die are \(2, 4,\) and \(6\), so number of favourable outcomes is 3. Find the probability using the formula:
\(P(E) = \frac{Number\, of\, favourable\, outcomes}{Total \, outcomes}\)