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Get Ready for Statistics: Corequisites
Introduction to Probability

 

Problem 1

Suppose you draw a card out of a \(52\)-card deck. You observe the color of the card in your hand. Give the sample space.

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Joshua
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Molly S.
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Cynthia
Problem 2

Inside a jar are six ping-pong balls, each showing numbers \(1\) through \(6\). Give the sample space of the ping-pong balls you can select.

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Joshua
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Molly S.
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Cynthia
Problem 3

Inside a jar there are six ping-pong balls, each showing numbers \(1\) through \(6\). When you draw a ping-pong ball from the jar, what is the probability of drawing

  1. a ball with the number \(5\)?

  2. a ball with an odd number?

  3. a ball with a number other than \(5\)?

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Joshua
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Molly S.
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Cynthia
Problem 4

Suppose you see five birds in a tree. Three of the birds are yellow and two are red. If one of them flew away, what is the probability that

  1. it is yellow?

  2. it is red?

  3. it is brown?

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Joshua
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Molly S.
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Cynthia
Problem 5

Two \(6\)-sided dice are rolled at the same time and the numbers showing are observed. Find the following:

  1. The sample space

  2. \(P(\text{sum}=9)\)

  3. \(P(\text{sum}=11)\)

  4. \(P(\text{the sum is an odd number})\)

  5. \(P(\text{both dice show the same number})\)

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Joshua
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Molly S.
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Cynthia
Problem 6

One card is drawn from a regular deck of \(52\) cards. Find the probabilities associated with the following events.

  1. The card is a \(5\).

  2. The card is a jack or a queen.

  3. The card is a spade.

  4. The card is not a \(5\).

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Julieta
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Joshua
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Molly S.
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Cynthia
Problem 7

If an iPhone user was chosen at random, answer the following questions.

  1. What is the probability that they replaced another iPhone with their new iPhone?

  2. What is the probability that they replaced a Blackberry or an Android with their iPhone?

  3. What is the probability that they did not replace an old iPhone with their new iPhone?

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Joshua
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Molly S.
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Cynthia
Problem 8

The table shows the length of time it took \(500\) college graduates to obtain their bachelor’s degree. If a graduate from this group is selected at random, find the probabilities of the following events. Give your answers as both reduced fractions and decimals rounded to the nearest hundredth.

  1. The graduate took \(4\) years to complete their degree.

  2. The graduate took more than \(6\) years or less than \(4\) years to complete their degree.

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Joshua
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Cynthia