mario has a number cube with sides numbered 1 through 6. he rolls the number cube twice. he rolls an odd…

mario has a number cube with sides numbered 1 through 6. he rolls the number cube twice. he rolls an odd number on the first roll. what is the probability that mario will roll an even number on the second roll?\na. 0\nb. $\frac{1}{4}$\nc. $\frac{1}{3}$\nd. $\frac{1}{2}$\ne. 1

mario has a number cube with sides numbered 1 through 6. he rolls the number cube twice. he rolls an odd number on the first roll. what is the probability that mario will roll an even number on the second roll?\na. 0\nb. $\frac{1}{4}$\nc. $\frac{1}{3}$\nd. $\frac{1}{2}$\ne. 1

Answer

Explanation:

Step1: Identify total and favorable outcomes

The second - roll of a number cube is an independent event. A standard number cube has 6 sides numbered 1 - 6. The total number of possible outcomes for the second roll is 6. The even numbers on a number cube are 2, 4, 6, so there are 3 favorable outcomes.

Step2: Calculate the probability

The probability formula is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{3}{6}=\frac{1}{2}$.

Answer:

D. $\frac{1}{2}$