Question

kelly rolls two number cubes 50 times. after each roll, she records whether the number on each cube is even (e) or odd (o). her results are shown in the graph. based on kelly’s results, which is the most reasonable prediction for the number of times two odd numbers will occur when two number cubes are rolled 2,000 times? two cube roll frequency 16 14 12 10 8 6 4 2 0 eo oe ee oo 1,360 632 480 500

Explanation:

Step1: Calculate experimental probability

The number of times two - odd numbers (OO) occurred in 50 rolls is 12. The experimental probability $P$ of getting two odd numbers is $P=\frac{12}{50}$.

Step2: Predict for 2000 rolls

Let $x$ be the number of times two odd numbers occur in 2000 rolls. We set up a proportion $\frac{12}{50}=\frac{x}{2000}$. Cross - multiply: $50x = 12\times2000$, so $x=\frac{12\times2000}{50}$.
Calculate $x=\frac{24000}{50}=480$.

Answer:

480