Respuesta :

Answer:

1/4

Explanation:

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

[tex]\begin{gathered} S=\{1,2,3,4,5,6\} \\ n(S)=6 \end{gathered}[/tex]

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:

[tex]\begin{gathered} =P(A)\times P(B) \\ =\frac{3}{6}\times\frac{3}{6} \\ =\frac{1}{2}\times\frac{1}{2} \\ =\frac{1}{4} \end{gathered}[/tex]

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