Question

Express the answer in the simplest form if a die is rolled one time find the probabilityQuestion: E Getting a number greater than two or an even number P ( A number greater than two or an even number) =

Answer 1

SOLUTION:

Step 1:

In this question, we are given the followig:

Given that a dice is rolled once. We are to find the probability.

Now, the probability of greater than 2 is:

$\frac{4}{6}$

The probability of getting an even number is;

$\frac{3}{6}$

Then, the probability of getting a number greater than 2 and an even number is:

$\frac{2}{6}$$\begin{gathered} Recall\text{ that:} \\ P\text{ \lparen A U B \rparen = P \lparen A\rparen + P \lparen B \rparen - P \lparen A n B \rparen} \\ P(\text{ A U B \rparen = }\frac{4}{6}\text{ + }\frac{3}{6}\text{ -}\frac{2}{6}\text{ =}\frac{5}{6} \end{gathered}$

CONCLUSION:

The probability of getting a numbe that is retaater than two or an even number is:

$\frac{5}{6}$