what is the probability of the complement of rolling a number less than 5 by using a six - sided…

what is the probability of the complement of rolling a number less than 5 by using a six - sided die?\n$\frac{1}{6}$\n$\frac{1}{3}$\n$\frac{2}{5}$\n$\frac{2}{3}$

what is the probability of the complement of rolling a number less than 5 by using a six - sided die?\n$\frac{1}{6}$\n$\frac{1}{3}$\n$\frac{2}{5}$\n$\frac{2}{3}$

Answer

Answer:

B. $\frac{1}{3}$

Explanation:

Step1: Find numbers less than 5

Numbers less than 5 on a six - sided die are 1, 2, 3, 4. So there are 4 favorable outcomes out of 6 total outcomes. The probability of rolling a number less than 5, $P(A)=\frac{4}{6}=\frac{2}{3}$.

Step2: Calculate the complement probability

The probability of the complement of an event $A$, denoted as $P(A^c)$, is given by $P(A^c)=1 - P(A)$. Substituting $P(A)=\frac{2}{3}$, we get $P(A^c)=1-\frac{2}{3}=\frac{1}{3}$.