Question

For the following question, find the theoretical probaility of each event when rolling a standard 6 sided die.P(number greater than 2)

Answer 1

2/3

Step-by-step explanation:

When a 6-sided standard die is thrown, the sample space is given below:

`\begin{gathered} S=\{1,2,3,4,5,6\} \\ n(S)=6 \end{gathered}`

The events of numbers greater than 2, (say event A) has the outcomes:

`\begin{gathered} A=\{3,4,5,6\} \\ n(A)=4 \end{gathered}`

Therefore, P(number greater than 2)​ i.e. P(A):

`\begin{gathered} P(A)=(n(A))/(n(S)) \\ =(4)/(6) \\ P(A)=(2)/(3) \end{gathered}`

The probability of a number greater than 2 is 2/3.