you roll a 6 - sided die. what is p(less than 6)? write your answer as a percentage rounded to the nearest…
you roll a 6 - sided die. what is p(less than 6)? write your answer as a percentage rounded to the nearest tenth.
Answer
Explanation:
Step1: Determine total outcomes
A 6 - sided die has 6 possible outcomes: 1, 2, 3, 4, 5, 6. So the total number of outcomes $n(S)=6$.
Step2: Determine favorable outcomes
The numbers less than 6 on a 6 - sided die are 1, 2, 3, 4, 5. So the number of favorable outcomes $n(A)=5$.
Step3: Calculate probability
The probability formula is $P(A)=\frac{n(A)}{n(S)}$. Substituting the values, we get $P(A)=\frac{5}{6}$.
Step4: Convert to percentage
To convert $\frac{5}{6}$ to a percentage, we calculate $\frac{5}{6}\times100% \approx 83.3%$.
Answer:
83.3%