Question

alex says that if he rolls an odd number on the first number cube, it is more likely that he will roll an even number on the second number cube. is he correct? explain.

Explanation:

Step1: Understand independent events

Rolling two number - cubes are independent events. The outcome of the first roll does not affect the outcome of the second roll.

Step2: Analyze probability of second roll

A standard number cube has 6 faces numbered from 1 to 6. There are 3 odd numbers (1, 3, 5) and 3 even numbers (2, 4, 6). The probability of rolling an even number on a single roll of a fair number cube is $\frac{3}{6}=\frac{1}{2}$, regardless of the result of the first roll.

Answer:

No, he is not correct. The outcome of the first roll of the number cube does not affect the outcome of the second roll. The probability of rolling an even number on the second number cube is $\frac{1}{2}$ no matter what the result of the first roll is.