you roll a 6 - sided die two times. what is the probability of rolling an odd number and then rolling a…

you roll a 6 - sided die two times. what is the probability of rolling an odd number and then rolling a number greater than 4? simplify your answer and write it as a fraction or whole number.

you roll a 6 - sided die two times. what is the probability of rolling an odd number and then rolling a number greater than 4? simplify your answer and write it as a fraction or whole number.

Answer

Explanation:

Step1: Find probability of rolling odd

On a 6 - sided die, odd numbers are 1, 3, 5. So probability $P_1=\frac{3}{6}=\frac{1}{2}$.

Step2: Find probability of rolling > 4

Numbers greater than 4 on a 6 - sided die are 5, 6. So probability $P_2=\frac{2}{6}=\frac{1}{3}$.

Step3: Use multiplication rule for independent events

Since the two die - rolls are independent, the probability of both events occurring is $P = P_1\times P_2$. $P=\frac{1}{2}\times\frac{1}{3}=\frac{1}{6}$

Answer:

$\frac{1}{6}$