Question

homework: unit 4 - mean, median and mode, and probability
question 27, 7.4.17
if a single 6 - sided die is tossed once, find the probability of rolling a number greater than 4.
the probability of rolling a number greater than 4 is
(simplify your answer.)

Explanation:

Step1: Identify total outcomes

A 6 - sided die has 6 possible outcomes: 1, 2, 3, 4, 5, 6. So $n(S)=6$.

Step2: Identify favorable outcomes

Numbers greater than 4 on a 6 - sided die are 5 and 6. So $n(A) = 2$.

Step3: Calculate probability

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

Answer:

$\frac{1}{3}$