A bag contains two green balls, three red balls, and seven yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is yellow?

A. 7/12

B. ¼

C. ½

D. 1/6

Answer Explanation:

The probability of finding the probability of a yellow ball is given by

Total number of balls in the bag=2+3+7=12 balls

The probability of drawing a yellow ball from the bag is 7/12.

Therefore, the Correct Answer is A.

Q #1: -2/9, -0.9, -1.7, -4/7 Of the number listed above, which number is the greatest?

A. -0.9

B. -4/7

C. -1.7

D. -2/9

Answer Explanation

The initial step is to convert the decimal options to fractions. Then, we find the LCM of the denominators of all fractions, which will be used to compare the values of the given options.

-0. becomes -9/10

-1.7 becomes -17/10

Then, the resulting denominators are 9, 10, and 63. Their LCM of 630 is used to multiply each fraction.

-2/9*630=-140

-9/10*630=-567

-17/10*630=-1071

-4/7*630=-360

From the calculations above, -140 is the greatest value of all the values. Thus, -2/9 is the greatest number.
Q #2: A bucket containing 5 2/5 gallons of water is 2/7 full. How many gallons of water is in one fully filled bucket?

A. 14/15

B. 2 7/15

C. 8 4/5

D. 18 9/10

Answer Explanation

we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.

Convert the mixed fraction into proper fraction as follows

If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

Cross-multiply to find the value of x.

Converting 189/10 to a mixed fraction is 18 9/10. Thus, when the tank is full, it holds 18 9/10 gallons of water.
Q #3: Which of the following is the median of the date set below? 9, -7, 1, -4, 3

A. -7

B. 1

C. 3

D. -4

Answer Explanation

The median of a data set is determined by arranging the numbers in ascending orders, and the median is the number the falls in the middle position.

-7, -4, 1, 3, 9

There are five numbers in the data set, and the median falls in the third position from either side. Thus, 1 fall in the third position.