jeremy is going to roll a fair 6 - sided die 180 times. what is the best prediction for the number of times…
jeremy is going to roll a fair 6 - sided die 180 times. what is the best prediction for the number of times that jeremy will roll a number greater than 4? choose 1 answer: a exactly 30 times b close to 30 times but probably not exactly 30 times c exactly 60 times d close to 60 times but probably not exactly 60 times
Answer
Explanation:
Step1: Calculate probability of rolling > 4
On a 6 - sided die, numbers greater than 4 are 5 and 6. So the probability $P$ of rolling a number greater than 4 is $P=\frac{2}{6}=\frac{1}{3}$.
Step2: Calculate expected number of times
The expected number of times $E$ of rolling a number greater than 4 in 180 rolls is $E = 180\times\frac{1}{3}=60$. But this is an expected value. In actual rolls, we will be close to 60 times but probably not exactly 60 times due to the random nature of die - rolling.
Answer:
D. Close to 60 times but probably not exactly 60 times