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Get Ready for Statistics: Corequisites

Introduction to Probability

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

a ball with the number \(5\)?

a ball with an odd number?

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

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

The sample space

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

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

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

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

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

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

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

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

The table shows the length of time it took \(500\) college graduates to obtain their bachelorâ€™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.

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

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