Respuesta :
SOLUTION
Step 1 :
We need to understand that the single die was rolled twice.
We need to get the probability of rolling the odd number and
a number greater than 2, the second time.
Step 2 :
We need to calculate the probability of rolling an odd number the first time:
( 1, 3, 5 )
Probability ( rolling an odd number the first time ) =
[tex]\frac{3}{6}[/tex]Step 3 :
We need to calculate the probability of getting a number greater than 2 the second time; ( 3, 4, 5,6 )
Probability ( getting a number greater than 2 the second time ) =
[tex]\frac{4}{6}[/tex]Step 4 :
Then, we need to find the probability of rolling an odd number the first time and a number greater than 2 the second time =
[tex]\begin{gathered} \text{Probability ( rolling an odd number the first time ) X } \\ \\ \text{Probability ( }a\text{ number greater than 2 the second time )} \end{gathered}[/tex]=
[tex]\begin{gathered} \frac{3}{6}\text{ x }\frac{4}{6}\text{ } \\ =\frac{12}{36} \\ =\frac{1}{3} \end{gathered}[/tex]CONCLUSION:
The probability of rolling an odd number the first time and a number greater than 2 the second time =
[tex]\frac{1}{3}[/tex]
