Quiz about Probability And Combinatorics

Question 1

A company surveys people in a city to find the type of cell phone plans they have and which provider they use. The results are shown in the table.

![](http://admin.getprephub.com/media/editor/g9_20230225201726400459.png)

What is the probability that a randomly selected person who has a plan with Provider B has unlimited usage?

Accepted Answer

Covalent bond

Answer

$$\frac{7}{10}$$

Answer

$$ \frac{10}{7}$$

Answer

$$\frac{14}{23}$$

Answer

$$\frac{23}{14}$$

Question 2

Sam is picking fruit from a basket that contains many different kinds of fruit. Which set of events is independent?

Accepted Answer

Covalent bond

Answer

Event 1: He picks a kiwi and puts it back.

Event 2: He picks an apple and puts it back.

Answer

Event 1: He picks a kiwi and eats it.

Event 2 : He picks a kiwi and puts it back.

Answer

Event 1: He picks an apple and eats it.

Event 2: He picks an apple and eats it.

Answer

Event 1: He picks a kiwi and eats it.

Event 2: He picks an apple and eats it.

Question 3

The probability of flipping a fair coin and heads landing face up is $$0.5$$. The probability of rolling a fair number cube, with sides numbered 1 through 6 , and an odd number landing face up is $$0.5$$.

What is the probability of flipping heads or rolling an odd number?

Accepted Answer

Covalent bond

Answer

0.75

Answer

0.5

Answer

0.15

Answer

0.85

Question 4

Probabilities for two events, event $$A$$ and event $$B$$, are given.

$$P(A \quad 	ext{and} \quad B)=0.14$$

$$P(B)=0.4$$

What is the probability of $$A$$ given $$B$$ ?

Accepted Answer

Covalent bond

Answer

0.35

Answer

0.5

Answer

0.2

Answer

0.12

Question 5

Bryan records the number of hours he sleeps each night for several days and whether it is raining in the morning when he wakes up. Bryan concludes that these two events are independent:

- Bryan sleeps 8 or more hours.

- It is raining in the morning.

Based on Bryan's conclusion, which statement must be true?

Accepted Answer

Covalent bond

Answer

The probability that Bryan sleeps 8 or more hours is the same whether or not it is raining in the morning.

Answer

Bryan never sleeps 8 or more hours on days that it is not raining in the morning.

Answer

The probability that Bryan sleeps 8 or more hours is influenced by whether or not it is raining in the morning.

Answer

The probability that Bryan sleeps 8 or more hours is the same as the probability that it is raining in the morning.

Ohio State Probability And Combinatorics Precalculus Maths Problems and Solutions

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