Question

if you throw a 6 - sided dice, what is the probability of throwing a number greater than 4?

Explanation:

Step1: Determine total outcomes

A 6 - sided dice has 6 possible outcomes: \(1,2,3,4,5,6\). So total number of outcomes \(n = 6\).

Step2: Determine favorable outcomes

Numbers greater than 4 on a 6 - sided dice are 5 and 6. So number of favorable outcomes \(m=2\).

Step3: Calculate probability

Probability formula is \(P=\frac{m}{n}\). Substituting \(m = 2\) and \(n = 6\), we get \(P=\frac{2}{6}=\frac{1}{3}\).

Answer:

\(\frac{1}{3}\)