elizabeth is going to roll a fair 6 - sided die 600 times. complete the following statement with the best…
elizabeth is going to roll a fair 6 - sided die 600 times. complete the following statement with the best prediction. elizabeth will roll an even number... choose 1 answer: a exactly 100 times b close to 100 times but probably not exactly 100 times c exactly 300 times d close to 300 times but probably not exactly 300 times
Answer
Explanation:
Step1: Calculate probability of rolling even
On a 6 - sided die, even numbers are 2, 4, 6. So probability $P=\frac{3}{6}=\frac{1}{2}$.
Step2: Calculate expected number of rolls
If die is rolled $n = 600$ times, expected number of even - number rolls is $E=n\times P=600\times\frac{1}{2}=300$.
Step3: Consider nature of probability
Probability gives an expected value. In practice, due to randomness, the actual number will be close to 300 but not exactly 300.
Answer:
D. Close to 300 times but probably not exactly 300 times