A bag contains five green balls, four red balls, and three yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is green?
A. 5/12
B. ¼
C. ½
D. 1/3
The probability of an event is given by
To find the probability of drawing a green ball, we need to find the total number of balls in the bag.
Total number of balls in the bag=5+4+3=12 balls
The probability of drawing a green ball from the bag is 5/12.
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
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Q #1: A bag contains five green balls, four red balls, and three yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is green?
A. 5/12
B. ¼
C. ½
D. 1/3
Answer Explanation
The probability of an event is given by
To find the probability of drawing a green ball, we need to find the total number of balls in the bag.
Total number of balls in the bag=5+4+3=12 balls
The probability of drawing a green ball from the bag is 5/12.
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Q #2: A plastic bucket containing 4/5 gallons of water is 3/4 full. How many gallons of water is in one fully filled bucket?
A. 1 1/15
B. 2 4/15
C. 9/15
D. 11/15
Answer Explanation
Given:
- A plastic bucket containing 4/5 gallons of water is 3/4 full.
To find:
- How many gallons of water is in one fully filled bucket?
Let's use the proportion formula to solve this:
If 3/4 of the bucket is 4/5 gallons, then 1 full bucket (or 4/4 of the bucket) will contain how many gallons?
\(\frac{3}{4}\) of the bucket = \(\frac{4}{5}\) gallons \(\frac{4}{3}\) of the bucket = \(\frac{5}{4}\) gallons \(\frac{4}{4}\) of the bucket=\(?\) gallons
\(\frac{4}{4}\) of the bucket = x gallons
Cross multiplying: x = \(\frac{4}{4}*\frac{4}{5}\ *\ \frac{4}{3}x = \frac{4}{5}*\frac{4}{3} = x\)
\(x\ =\ \frac{16}{15}\)
Thus, a fully filled bucket contains \(\frac{16}{15}\ =\ 1\frac{1}{15}\) gallons of water. Therefore, the correct choice is:
Choice A: 1 1/15
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Q #3: The length of a rectangular room is 9 feet greater than its width. Which of the following equations represents the area (A) of the room?
A. A=9x
B. A=2x+2(x+9)
C. A=x(x+9)
D. A=x+(x+9)
Answer Explanation
we are asked to find the area of the room from the given information.
The first step is to find equation relating the length of the room to its width. If we let the width of the room to be x. Then,
Width of the rectangle= x
Length of rectangle = (x+9)
Area of the rectangle, A= Length*width = (x+9)*x
A=x(x+9)
Therefore, the area of the rectangular room is x(x+9).
