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8 suppose you roll a number cube. what is the theoretical probability o…

Question

8 suppose you roll a number cube. what is the theoretical probability of rolling a number less than 5?
options:
$\frac{2}{3}$
$\frac{5}{6}$
$\frac{1}{6}$
$\frac{1}{3}$

Explanation:

Step1: Define total outcomes

A number cube has 6 faces, so total possible outcomes = 6.

Step2: Identify favorable outcomes

Numbers less than 5 are 1,2,3,4. So favorable outcomes = 4.

Step3: Calculate probability

Probability = $\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}} = \frac{4}{6} = \frac{2}{3}$

Answer:

A. $\frac{2}{3}$