Calculating the Probability of Getting an Even Number on a Dice

Let's find the probability of getting an even number when a standard six-sided dice is thrown.

Understanding Dice Outcomes

When you throw a standard dice, there are several possible results. These are the numbers on the faces of the dice.

• The possible outcomes when throwing a dice are 1, 2, 3, 4, 5, and 6.
• The total number of possible outcomes is 6.

Identifying Favorable Outcomes (Even Numbers)

We are interested in the event of getting an even number. We need to identify which of the possible outcomes are even numbers.

• The even numbers among the possible outcomes (1, 2, 3, 4, 5, 6) are 2, 4, and 6.
• The number of favorable outcomes (getting an even number) is 3.

Calculating the Probability

The probability of an event is calculated using the formula:

\(\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}\)

In this case:

• Number of favorable outcomes (getting an even number) = 3
• Total number of possible outcomes (when throwing a dice) = 6

So, the probability of getting an even number is:

\(\text{Probability (Even Number)} = \frac{3}{6}\)

This fraction can be simplified:

\(\frac{3}{6} = \frac{1}{2}\)

Therefore, the probability of getting an even number when throwing a dice is \(\frac{1}{2}\).

Conclusion

The probability of getting an even number in throwing of a dice is \(\frac{1}{2}\).