Question

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

Explanation:

Step1: Determine total possible outcomes

A 6 - sided dice has 6 possible outcomes: \(n(S)=6\) (where \(S\) is the sample space).

Step2: Determine favorable outcomes

Numbers greater than 4 on a 6 - sided dice are 5 and 6. So \(n(E) = 2\) (where \(E\) is the event of getting a number greater than 4).

Step3: Calculate probability

The probability formula is \(P(E)=\frac{n(E)}{n(S)}\). Substituting the values, we get \(P(E)=\frac{2}{6}=\frac{1}{3}\).

Answer:

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