Quiz about Probability And Combinatorics

Question 1

When registering their cars, owners must identify the color that covers the largest portion of the vehicle. In one region, the probability that car was mainly white was $$0.24$$, the probability that it was mainly silver was $$0.22$$, point and the probability that it was mainly black was $$0.19$$. Find $$P$$ (silver OR black)

Accepted Answer

Covalent bond

Answer

$$0.41$$

Answer

$$0.23$$

Answer

$$0.379$$

Answer

$$0.73$$

Question 2

Josh has a bag containing pieces of candy. The bag contains 10 red circular pieces, 10 red square pieces, 10 blue triangular pieces, and 10 blue star-shaped pieces. He draws a red piece of candy from the bag.

What is the complement of this event?

Accepted Answer

Covalent bond

Answer

He draws a blue piece.

Answer

He draws a square piece.

Answer

He draws a circular piece.

Answer

He draws a star-shaped piece.

Question 3

During a 90-day semester, a student records whether he arrives at school on time and whether he goes to bed by 10:00 p.m. the night before. The results are shown in the table.

![](http://admin.getprephub.com/media/editor/r4_20230225230024973964.png)

Does the student arriving at school on time depend on whether the student goes to bed by $$10: 00$$ p.m? Justify your reasoning.

Accepted Answer

Covalent bond

Answer

No

Answer

Yes

Question 4

A university determined the number of students pursuing different degrees, by gender. Some of the results are shown.

![](http://admin.getprephub.com/media/editor/t19_20230225221516914039.png)
What is the probability that a female student chosen at random is pursuing an undergraduate degree?

Accepted Answer

Covalent bond

Answer

$$32 \%$$

Answer

$$ 18 \%$$

Answer

$$ 36 \%$$

Answer

$$64 \%$$

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.

Probability And Combinatorics Precalculus Maths Problems and Solutions

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