A bag contains 4 red, 7 blue, 8 green, and 5 white marbles. What is the theoretical probability that a randomly selected marble is green?
a.1/2 b.1/6 c.1/3 d. 1/4
8 green
24 total
so, what do you think?
1/4
To find the theoretical probability of selecting a green marble, we need to divide the number of green marbles by the total number of marbles in the bag.
The total number of marbles in the bag is 4 + 7 + 8 + 5 = 24.
The number of green marbles is 8.
So, the theoretical probability of selecting a green marble is 8/24.
Simplifying the fraction, we get 1/3.
Therefore, the correct answer is c. 1/3.
To find the theoretical probability of selecting a green marble, you need to compare the number of green marbles to the total number of marbles in the bag.
In this case, the bag contains a total of 4 + 7 + 8 + 5 = 24 marbles.
The number of green marbles is 8.
So, the theoretical probability of selecting a green marble is 8/24.
To simplify this fraction, you can divide both the numerator and the denominator by their greatest common divisor. In this case, the greatest common divisor of 8 and 24 is 8.
So, 8/24 simplifies to 1/3.
Therefore, the theoretical probability of selecting a green marble is 1/3.
The answer is option C.