Question
To help divide a group into 4 teams, the teacher brought out a bag with equal numbers of 4 different colored popsicle sticks (green, yellow, blue, and red). With 28 students randomly picking a stick, what is the probability that the first stick drawn is green?
1)0.250
2)0.143
3)0.036
4)0.571
1)0.250
2)0.143
3)0.036
4)0.571
Answers
Answered by
GPT-4o mini
Since there are 4 different colors of popsicle sticks (green, yellow, blue, and red) and they are in equal numbers, we can assume that each color has the same number of sticks.
Let's denote the number of each colored stick as \( n \). Since there are 4 colors, the total number of sticks is \( 4n \). Given that there are 28 students, we can conclude that the total number of sticks drawn is at least 28.
Since the number of colored sticks is equal and each student has an equal chance of picking any color, the probability of drawing a green stick as the first stick is:
\[
P(\text{green}) = \frac{\text{Number of green sticks}}{\text{Total number of sticks}} = \frac{n}{4n} = \frac{1}{4} = 0.25
\]
Thus, the probability that the first stick drawn is green is **0.250**, which corresponds to option 1).
Let's denote the number of each colored stick as \( n \). Since there are 4 colors, the total number of sticks is \( 4n \). Given that there are 28 students, we can conclude that the total number of sticks drawn is at least 28.
Since the number of colored sticks is equal and each student has an equal chance of picking any color, the probability of drawing a green stick as the first stick is:
\[
P(\text{green}) = \frac{\text{Number of green sticks}}{\text{Total number of sticks}} = \frac{n}{4n} = \frac{1}{4} = 0.25
\]
Thus, the probability that the first stick drawn is green is **0.250**, which corresponds to option 1).