1. maddie has two number cubes. the faces of each number cube are numbered 1 to 6. maddie rolled the number…

1. maddie has two number cubes. the faces of each number cube are numbered 1 to 6. maddie rolled the number cubes and recorded the number showing on the top face of each number cube. the results are shown in the table. 4,1 5,3 3,5 3,2 2,1 1,1 4,1 2,4 3,5 5,5 1,2 5,6 1,1 1,4 6,6 4,1 4,6 2,6 5,4 1,4 based on these results what is the experimental probability that the next time the number cubes are rolled, they will land with a 4 showing on the top face of one number cube and a 1 showing on the top face of the other number cube? type a response

1. maddie has two number cubes. the faces of each number cube are numbered 1 to 6. maddie rolled the number cubes and recorded the number showing on the top face of each number cube. the results are shown in the table. 4,1 5,3 3,5 3,2 2,1 1,1 4,1 2,4 3,5 5,5 1,2 5,6 1,1 1,4 6,6 4,1 4,6 2,6 5,4 1,4 based on these results what is the experimental probability that the next time the number cubes are rolled, they will land with a 4 showing on the top face of one number cube and a 1 showing on the top face of the other number cube? type a response

Answer

Answer:

$\frac{4}{20}=\frac{1}{5}$

Explanation:

Step1: Count total outcomes

There are 20 data - points in the table, so the total number of outcomes $n = 20$.

Step2: Count favorable outcomes

The pairs with a 4 on one cube and a 1 on the other are $(4,1),(4,1),(4,1),(1,4)$. So the number of favorable outcomes $m = 4$.

Step3: Calculate experimental probability

The experimental probability $P=\frac{m}{n}=\frac{4}{20}=\frac{1}{5}$.