Question

Marbles There are 70 marbles in the bag. The bag has 31 green marbles, 27 red marbles, and 12 yellow marbles. Silas selects a marble from the bag 20 times, and of those he picks

a red marble 12 times. What is the experimental probability of selecting a red marble? What is the theoretical probability of selecting a red marble?
The experimental probability of selecting a red marble is
(Type an integer or a simplified fraction.)

Answer 1

The experimental probability of selecting a red marble is 12/20, which simplifies to 3/5 or 0.6 as a decimal.

The theoretical probability of selecting a red marble can be calculated by dividing the number of red marbles by the total number of marbles:

P(red) = number of red marbles / total number of marbles

In this case, there are 27 red marbles out of 70 total marbles:

P(red) = 27/70

Therefore, the theoretical probability of selecting a red marble is 27/70, which cannot be simplified further as a fraction. As a decimal, it is approximately 0.386.