if you roll a 6 - sided die 12 times, what is the best prediction possible for the number of times you will…
if you roll a 6 - sided die 12 times, what is the best prediction possible for the number of times you will roll an odd number? times
Answer
Explanation:
Step1: Calculate probability of rolling odd
On a 6 - sided die, odd numbers are 1, 3, 5. So there are 3 odd numbers out of 6. The probability $P$ of rolling an odd number in a single roll is $P=\frac{3}{6}=\frac{1}{2}$.
Step2: Find expected number of odd - rolls
We roll the die $n = 12$ times. The expected value $E$ (best prediction) of the number of times we roll an odd number is given by $E=n\times P$. Substitute $n = 12$ and $P=\frac{1}{2}$ into the formula: $E=12\times\frac{1}{2}=6$.
Answer:
6