Probability — Quiz 3

Questions in this quiz (6)

1. A bag contains balls labeled $$X$$, $$Y$$, $$Z$$, and $$W$$. There are three times as many $$X$$ balls as $$Y$$ balls and five more $$Z$$ balls than $$X$$ balls. There are 36 $$W$$ balls. If the probability of drawing a $$W$$ ball is $$\frac{12}{37}$$, what is the probability of drawing a $$Z$$ ball?

   • $$\frac{12}{37}$$
   • $$\frac{20}{37}$$
   • $$\frac{10}{111}$$
   • $$\frac{35}{111}$$

2. A bag contains 4 blue balls, 6 green balls, and 5 red balls. One ball is drawn at random and then replaced in the bag. A second ball is drawn at random. What is the probability of drawing a red ball first and a red ball second?

   • $$\frac{2}{3}$$
   • $$\frac{1}{15}$$
   • $$\frac{1}{9}$$
   • $$\frac{1}{3}$$

3. A jar contains 5 blue balls, 4 yellow balls, and 3 red balls. One ball is drawn randomly, returned to the jar, and another ball is drawn. What is the probability of drawing at least one red ball?

   • $$\frac{3}{16}$$
   • $$\frac{7}{16}$$
   • $$\frac{3}{4}$$
   • $$\frac{7}{12}$$

4. If a number is selected at random from the set of whole number factors of 36, what is the probability that the chosen number is either a multiple of 3 or a multiple of 4?

   • $$\frac{6}{9}$$
   • $$\frac{7}{9}$$
   • $$\frac{2}{9}$$
   • $$\frac{1}{9}$$

5. A bag contains $$b$$ black balls and $$w$$ white balls. If the probability of randomly selecting a white ball is $$\frac{4}{9}$$, what is the value of $$\frac{w}{b}$$?

   • $$\frac{4}{9}$$
   • $$\frac{4}{5}$$
   • $$\frac{3}{4}$$
   • $$\frac{1}{6}$$

6. If 2 dice are rolled, what is the probability of rolling a sum of 7?

   • $$\frac{1}{2}$$
   • $$\frac{1}{3}$$
   • $$\frac{1}{4}$$
   • $$\frac{1}{6}$$