AnswersTN-Algebra II B SC 26-27 For CreditSets and Venn Diagrams

Sets and Venn Diagrams Answers

11 verified answers
1
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Which events are independent? Check all that apply.

A
Each number 1 through 10 is written on a slip of paper, placed in a hat, and randomly picked. Sarah picks a number less than 5, keeps it, and then picks an odd number.
B
A number cube is rolled and a spinner is spun. Henry rolls a multiple of 2 and lands on a red portion of the spinner.
C
Two cards are randomly chosen from a standard deck. Eliza chooses a jack, replaces it, and then chooses a black card.
D
Two pairs of socks are randomly chosen from a drawer. Hayden chooses a black pair of socks, puts them on, and then chooses another black pair.
E
A card is randomly chosen from a standard deck and a dart is randomly thrown. Olivia chooses an ace and the dart hits the bull’s-eye.
2
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A pharmaceutical company collects data on the side effects participants report for a drug it is testing. The company finds that the probability of experiencing a headache is 5 percent and the probability of experiencing both a headache and heartburn is 2 percent. If the probability of experiencing a headache or heartburn is 8 percent, what is the probability of experiencing heartburn?

A
1 percent
B
5 percent
C
11 percent
D
15 percent
3

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4

The names of the months are each written on a slip of paper. If a slip of paper is randomly drawn, which scenario depicts mutually exclusive events?

A
begins with a J and contains a u
B
ends with an r and has five or fewer letters
C
has thirty-one days and ends with a y
D
contains an e and has thirty or fewer days
5

This week in school, there is a 75 percent probability of having a fire drill, a 50 percent probability of a tornado drill, and a 25 percent probability of having both drills. Let event F be a fire drill and event T be a tornado drill. Are the two events independent?

A
No, because P(F ∩ T) ≠ P(F) • P(T).
B
No, because P(F ∩ T) ≠ P(F) + P(T).
C
Yes, because P(F ∩ T) = P(F) • P(T).
D
Yes, because P(F) = P(T) + P(F ∩ T).
6

Events A and B are mutually exclusive. Events B and C are non-mutually exclusive. Which Venn diagram could represent this description?

A
Option A
B
Option B
C
Option C
D
Option D
7

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8

Use the table to determine the following probabilities. The probability that a randomly chosen person from this group has type B is . The probability that a randomly chosen person from this group has type AB is . The probability that a randomly chosen person from this group has type B or type AB blood is .

Answers:
Selection 1:3/25
Selection 2:1/25
Selection 3:4/25
9

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10

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20

The probability of event A is 0.48, the probability of event A and B is 0.21, and the probability of events A or B is 0.89. What is the probability of event B?

A
0.09
B
0.20
C
0.27
D
0.62

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Sets and Venn Diagrams Answers — TN-Algebra II B…