A bag contains 5 white,6 red, 3 purple, and
4 yellow marbles. What is the theoretical probability that the marble drawn is red?
a.1/9
b.1/4
c.1/3
d.5/51
6/18 = ( 6 * 1 ) / (6 * 3 ) = (1 * 1) / (1 * 3) = ?
5/51
To find the theoretical probability of drawing a red marble, we need to determine the number of red marbles in relation to the total number of marbles.
The total number of marbles in the bag is 5 + 6 + 3 + 4 = 18.
The number of red marbles is 6.
Therefore, the theoretical probability of drawing a red marble is 6/18.
Simplifying, we can reduce the fraction to 1/3.
So, the correct answer is c. 1/3.
To find the theoretical probability of drawing a red marble, we need to determine the number of red marbles in the bag and divide it by the total number of marbles.
In this case, we have 6 red marbles out of a total of (5 + 6 + 3 + 4) = 18 marbles.
Therefore, the theoretical probability of drawing a red marble is 6/18, which simplifies to 1/3.
So the correct answer is c. 1/3.