5.07 UNIT TEST: Counting and Probability - Part 1

The probability of drawing two red candies without replacement is 1335 , and the probability of drawing one red candy is 25 . What is the probability of drawing a second red candy, given that the first candy is red?

13/14

A six-sided number cube is rolled twice. What is the number of possible outcomes?

36

Ten slips of paper labeled from 1 to 10 are placed in a hat. The first slip of paper is not replaced before selecting the second slip of paper. What is the probability of selecting a number less than 2 then a number greater than 7?

1/30

A spinner has ten equal sectors labeled from 1 to 10. The spinner is spun once. What is the probability of getting an odd number and a number greater than 4?

3/10

A and B are two events. Given that P(A)=0.25 , P(B)=0.3 and P(A and B)=0.05 . Drag and drop the answers into the boxes.

Events A and B are \\\not independent/// because \\\P(A|B)≠P(A)///.

A group of athletic people were asked whether they played soccer or basketball. The table shows the probabilities of results. Soccer No soccer Total Basketball 0.3 0.4 0.7 No basketball 0.2 0.1 0.3 Total 0.5 0.5 1 Which statement is true?

Playing soccer and basketball are not independent since P(soccer|basketball) ≠ P(soccer) and P(basketball|soccer) ≠ P(basketball) .

There are 5 quarters, 2 nickels and 3 dimes in a jar. One coin is randomly drawn, replaced and then another coin is drawn. What is the probability of getting a quarter then a nickel?

1/10

There are two spinners. The first spinner has three equal sectors labeled 1, 2 and 3. The second spinner has four equal sectors labeled 3, 4, 5 and 6. The spinners are spun once. What is the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner?

2

Kim rolls a six-sided number cube labeled from 1 to 6. What is the probability that she rolls a number greater than 3 or a 1?

2/3

Which events are independent? Select each correct answer.

Three coins are tossed at the same time. Two six-sided number cubes are rolled. Three red marbles are drawn from a bag with replacement.

Which statement best explains conditional probability and independence?

When two separate events, A and B, are independent, P(A|B)=P(A) . This means that the probability that event B occurred first has no effect on the probability of event A occurring next.

One spinner has three equally sized sectors labeled R, S, and T. A second spinner has two equally sized sectors labeled 3 and 5. Each spinner is spun once. What is the sample space of outcomes?

{R3, R5, S3, S5, T3, T5}