Question

maria has a number cube with sides numbered 1 through 6. she rolls the number cube twice. she rolls an odd number on the first roll. what is the probability that maria will roll an even number on the second roll?
oa. 0
ob.
oc.
od.
oe. 1

Explanation:

Step1: Determine the total number of outcomes

The cube has 6 faces numbered 1 - 6. So the total number of possible outcomes when rolling the cube is \(n = 6\).

Step2: Determine the number of non - even numbers

The non - even (odd) numbers on the cube are 1, 3, 5. So the number of non - even numbers \(m=3\).

Step3: Calculate the probability

The probability formula is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Substituting the values, we get \(P = \frac{3}{6}=\frac{1}{2}\).

Answer:

B. \(\frac{1}{2}\)