Question

lisa will roll a standard 6 - sided die. what is the probability that she rolls a number greater than 2?

Explanation:

Step1: Determine total outcomes

A standard 6 - sided die has 6 possible outcomes: 1, 2, 3, 4, 5, 6. So the total number of outcomes $n = 6$.

Step2: Determine favorable outcomes

The numbers greater than 2 on a 6 - sided die are 3, 4, 5, 6. So the number of favorable outcomes $m=4$.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{m}{n}$. Substituting $m = 4$ and $n = 6$ into the formula, we get $P=\frac{4}{6}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$