# 4.1 hw empirical probability about 15 questions

## Rounding

x = 0.02744

Round x to 4 decimal places:

Round x to 3 decimal places:

Round x to 2 decimal places:

## Question 2

Check 0/1 ptRetries 2Reattempts 2Info DetailsA group of people were asked if they had run a red light in the last year. 275 responded “yes”, and 102 responded “no”.

Find the probability that if a person is chosen at random, they have run a red light in the last year.

Give your answer as a fraction or decimal accurate to at least 3 decimal placesQuestion HelpQuestion 2:

## Question 3

Check 0/1 ptRetries 2Reattempts 2Info DetailsIn a brand recognition study, 1132 consumers knew of Exxon, and 18 did not. Use these results to estimate the probability that a randomly selected consumer will recognize Exxon.

Report the answer as a percent rounded to one decimal place accuracy. You need not enter the “%” symbol.
prob = %Question HelpQuestion 3:

## Question 4

An experiment is to draw 1 card from a fair deck of playing cards. You may answer as a fraction or a decimal rounded to the hundredths place.

a) If you were to list the sample space, how many equally likely outcomes would it have?

b) Find the probability of getting a 3.

c) Find the probability of not getting a diamond.

d) Find the probability of getting a heart.

e) Find the probability of getting a 3 or a heart.

Submit QuestionQuestion 4Unattempted

## Question 5

Check 0/1 ptRetries 2Reattempts 2Info DetailsSuppose that 29% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?

Question 8

An experiment is pulling a ball from an urn that contains 12 blue balls and 4 red balls.

a) Find the probability of getting a blue ball.

b) Find the probability of getting a red ball.

## Question 11

A special deck of cards has 6 blue cards, and 5 purple cards. The blue cards are numbered 1, 2, 3, 4, 5, and 6. The purple cards are numbered 1, 2, 3, 4, and 5. The cards are well shuffled and you randomly draw one card.

A = card drawn is purple
B = card drawn is even-numbered

a) How many elements are there in the sample space?
b) P(A) =    Please enter a reduced fraction
c) P(B) =    Please enter a reduced fraction

## Question 12

sA special deck of cards has 5 green cards, and 5 red cards. The green cards are numbered 1, 2, 3, 4, and 5. The red cards are numbered 1, 2, 3, 4, and 5. The cards are well shuffled and you randomly draw one card.

A = card drawn is green
B = card drawn is odd-numbered

a) How many elements are there in the sample space?
b) P(A) =
c) P(B) =

## Question 13

An experiment is pulling a ball from an urn that contains 6 blue balls and 4 red balls.

a) Find the probability of getting a blue ball.

b) Find the probability of getting a red ball.

Question 14

An experiment is to draw 1 card from a fair deck of playing cards.

a) If you were to list the sample space, how many equally likely outcomes would it have?

b) Find the probability of getting a 6.

c) Find the probability of not getting a diamond.

d) Find the probability of getting a club.

e) Find the probability of getting a 6 or a heart.

## Question 16

An experiment is pulling a ball from an urn that contains 12 blue balls and 4 red balls.

a) Find the probability of getting a blue ball.

b) Find the probability of getting a red ball.

## Question 17

An experiment is to draw 1 card from a fair deck of playing cards. You may answer as a fraction or a decimal rounded to the hundredths place.

a) If you were to list the sample space, how many equally likely outcomes would it have?

b) Find the probability of getting a 2.

c) Find the probability of not getting a spade.

d) Find the probability of getting a spade.

e) Find the probability of getting a 2 or a diamond.

## Question 19

An experiment is pulling a ball from an urn that contains 4 blue balls and 10 red balls.

a) Find the probability of getting a blue ball.

b) Find the probability of getting a red ball.

## Question 20

An experiment is to draw 1 card from a fair deck of playing cards.

a) If you were to list the sample space, how many equally likely outcomes would it have?

b) Find the probability of getting a 6.

c) Find the probability of not getting a diamond.

d) Find the probability of getting a diamond.

e) Find the probability of getting a 6 or a club.

## Question 21

In the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00.

a) Find the probability of winning if you pick the number 3 and it comes up on the wheel.

b) Find the probability of an odd number coming up on the wheel.

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