Question

What is the probability of rolling a standard die and getting an odd number and a number less than or equal to 3?

Answer 1

1/4

Step-by-step explanation:

When a standard die is rolled, the sample space of possible outcomes are:

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

The outcomes of odd numbers are:

A={1,3,5}

n(A)=3

The outcomes of numbers less than or equal to 3 are:

B={1,2,3}

n(B) = 3

Therefore, the probability of getting an odd number and a number less than or equal to 3 will be:

`\begin{gathered} =P(A)* P(B) \\ =(3)/(6)*(3)/(6) \\ =(1)/(2)*(1)/(2) \\ =(1)/(4) \end{gathered}`

The probability is 1/4 or 0.25 (25%).