Probability 1 — Problem Solving & Data Analysis

Questions in this quiz (6)

1. A choir with $$60$$ members has $$15$$ members who sing soprano. If one choir member is selected at random, what is the probability of selecting a member who sings soprano?

   • $$\frac{1}{4}$$
   • $$\frac{1}{60}$$
   • $$\frac{1}{2}$$
   • $$\frac{2}{3}$$

2. A warehouse received a shipment of $$2500$$ headphones, $$10$$ of which were defective. If one headphone is randomly selected from this shipment, what is the probability that it is defective?

   • $$0.4$$
   • $$0.004$$
   • $$0.04$$
   • $$0.02$$

3. There are $$25$$ marbles in a jar: $$6$$ red marbles, $$4$$ blue marbles, and $$15$$ green marbles. If one marble is selected at random, what is the probability of selecting a green marble?

   • $$\frac{2}{5}$$
   • $$\frac{3}{5}$$
   • $$\frac{4}{5}$$
   • $$\frac{1}{5}$$

4. There are $$500$$ trees in a nature preserve. Of these trees, $$12$$ percent are oak trees, and $$30$$ percent of the oak trees are more than $$50$$ years old. How many trees in the preserve are oak trees that are more than $$50$$ years old?

   • $$6$$
   • $$12$$
   • $$18$$
   • $$36$$

5. A bag contains $$12$$ red marbles, $$18$$ blue marbles, $$30$$ green marbles, and $$10$$ yellow marbles, for a total of $$70$$ marbles. A marble is chosen at random from the bag. What is the probability that the marble is not red or yellow?

   • $$\frac{48}{70}$$
   • $$\frac{22}{70}$$
   • $$\frac{18}{70}$$
   • $$\frac{32}{70}$$

6. The table summarizes gym members who visited a gym last month by age and number of visits they made. If a member is selected at random, what is the probability that the selected member is at least 30 years old?

   • $$\frac{20}{150}$$
   • $$\frac{30}{150}$$
   • $$\frac{60}{150}$$
   • $$\frac{4}{5}$$