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

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

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

Answer

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})