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Independent & Dependent Probability

Authored by Karla Webb

Mathematics

12th Grade

CCSS covered

Used 1+ times

Independent & Dependent Probability
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14 questions

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1.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Media Image

Complete the tree diagram.

What's the answer for #1?

Answer explanation

For each branch, the sum of all of the probabilities equals 1.

Tags

CCSS.7.SP.C.8B

2.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Media Image

Complete the tree diagram.

What's the answer for #2?

Answer explanation

For each branch, the sum of all of the probabilities equals 1.

Tags

CCSS.7.SP.C.8B

3.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Media Image

Complete the tree diagram.

What's the answer for #3?

Answer explanation

For each branch, the sum of all of the probabilities equals 1.

Tags

CCSS.7.SP.C.8B

4.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Media Image

Complete the tree diagram.

What's the answer for #4?

Answer explanation

For each branch, the sum of all of the probabilities equals 1.

Tags

CCSS.7.SP.C.8B

5.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Media Image

Find the probability that a member of the armed forces is an officer.

Round 3 sig fig

Answer explanation

This person can be a

navy officer (0.22 * 0.19) = 0.0418

army officer (0.47 * 0.15) = 0.0705

air force officer (0.31 * 0.21) = 0.0651

Since there are multiple occurrences, you add the probabilities.

0.1774 rounds to 0.177 (3 sig fig)

6.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Media Image

Find the probability that a member of the armed forces is not an officer in the navy.

Round 3 sig fig

Answer explanation

P(officer in navy) = (0.22 * 0.19) = 0.0418

Think about the complement

1 - P(officer in navy)

1-0.0418 = 0.9582

0.958 (3 sig fig)

Tags

CCSS.HSS.CP.A.1

7.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Media Image

Find the probability that a member of the armed forces is not an army or air force officer.

Answer explanation

P(army or air force officer)

(0.47 * 0.15) + (0.31 *0.21)

0.1356

Think complement

1-P(army or air force officer)

1 - 0.1356 = 0.8644

0.864 (3 sig fig)

Tags

CCSS.HSS.CP.A.1

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