Refer to our Texas Go Math Grade 7 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 7 Module 6 Quiz Answer Key.

## Texas Go Math Grade 7 Module 6 Quiz Answer Key

**Texas Go Math Grade 7 Module 6 Ready to Go On? Answer Key**

**6.1, 6.2 Theoretical Probability of Simple and Compound Events**

Find the probability of each event. Write your answer as a fraction, as a decimal, and as a percent.

Question 1.

You choose a marble at random from a bag containing 12 red, 12 blue, 15 green, 9 yellow, and 12 black marbles. The marble is red.

Answer:

TotaL number of possible outcomes is:

12 + 12 + 15 + 9 + 12 = 61

P (choose a red marble) =

The probability to choose a red marble is \(\frac{12}{61}\).

Question 2.

You draw a card at random from a shuffled deck of 52 cards. The deck has four 13-card suits (diamonds, hearts, clubs, spades). The card is a diamond or a spade.

Answer:

Total number of possible outcomes is: 4 ∙ 13 = 52

P (diamond or a spade) =

The probability to draw a diamond or spide is \(\frac{1}{2}\).

**6.3 Making Predictions with Theoretical Probability**

Question 3.

A bag contains 23 red marbles, 25 green marbles, and 18 blue marbles. You choose a marble at random from the bag. What color marble will you most likely choose?

Answer:

Total number of possible outcomes is: 23 + 25 + 18 = 66

It is more likely to pick a green marble than marble in other color.

**6.4 Using Technology to Conduct a Simulation**

Question 4.

Bay City has a 20% chance of having a flood in any given decade. The table shows the results of a simulation using random numbers to find the experimental probability that there will be a flood in Bay City in at least 1 of the next 5 decades. In the table, the number 1 represents a decade with a flood. The numbers 2 through 5 represent a decade without a flood.

According to the simulation, what is the experimental probability of a flood in Bay City in at least 1 of the next 5 decades?

Answer:

The experimental probability of a flood in Bay City in at least 1 of the next 5 decades is \(\frac{4}{10}\) = \(\frac{2}{5}\).

**Essential Question**

Question 5.

How can you use theoretical probability to make predictions in real-world situations?

Answer:

Theoretical probability is a ratio that describes what should happen, so we can make prediction about all possible situations which helps us to find the answer in real-world situations.

**Texas Go Math Grade 7 Module 6 Mixed Review Texas Test Prep Answer Key**

**Selected Response**

Question 1.

What is the probability of flipping two fair coins and having both show tails?

(A) \(\frac{1}{8}\)

(B) \(\frac{1}{4}\)

(C) \(\frac{1}{3}\)

(D) \(\frac{1}{2}\)

Answer:

(B) \(\frac{1}{4}\)

Explanation:

Total numbers of possible outcomes is:

HT, HH, TT, TH = 4

Number of flip with tail on each coin The only way to fall two tails ¡s to get a tails on both coins.

P (flip on each tails) =

The probability to pick two tails is \(\frac{1}{4}\).

Question 2.

A bag contains 8 white marbles and 2 black marbles. You pick out a marble, record its color, and put the marble back in the bag. If you repeat this process 45 times, how many times would you expect to remove a white marble from the bag?

(A) 9

(B) 32

(C) 36

(D) 40

Answer:

(A) 9 times

Explanation:

You can expect to remove a white marble about 9 times.

Question 3.

Philip rolls a standard number cube 24 times. Which is the best prediction for the number of times he will roll a number that is even and less than 4?

(A) 2

(B) 3

(C) 4

(D) 6

Answer:

(C) 4

Explanation:

A number that is even and less than 4 is number 2

The best prediction for the number of times to roll number that is even and less than 4 is 4.

Question 4.

A set of cards includes 24 yellow cards, 18 green cards, and 18 blue cards. What is the probability that a card chosen at random is not green?

(A) \(\frac{3}{10}\)

(B) \(\frac{4}{10}\)

(C) \(\frac{3}{5}\)

(D) \(\frac{7}{10}\)

Answer:

(D) \(\frac{7}{10}\)

Explanation:

Total numbers of possible outcomes is:

24 + 18 + 18 = 60

P (choose a green card) =

P (not to choose a green card) = 1 – P (choose a green card) = 1 – \(\frac{3}{10}\) = \(\frac{10}{10}\) – \(\frac{3}{10}\) = \(\frac{7}{10}\)

The probability that chosen card at random is not green is \(\frac{7}{10}\).

Question 5.

A rectangle made of square tiles measures 10 tiles long and 8 tiles wide. What is the width of a similar rectangle whose length is 15 tiles?

(A) 3 tiles

(B) 12 tiles

(C) 13 tiles

(D) 18.75 tiles

Answer:

(B) 12 tiles

Explanation:

Use Proportion.

The width of a similar rectangle is 12 tiles.

Question 6.

You buy a game that originally cost $35. It was on sale at 20% off. You paid 6% tax on the sale price. What was the total amount that you paid?

(A) $29.68

(B) $37.10

(C) $44.10

(D) $44.52

Answer:

(A) $29.68

Explanation:

Originally price is $35.

Sale is 20%.

Tax is 6%.

Calculate how ¡iiicIi a game on sale costs.

35 – 35 ∙ \(\frac{20}{100}\) = 35 – 35 ∙ \(\frac{1}{5}\) = 35 – 7 = $28

Find a tax on the sale price.

28 ∙ \(\frac{6}{100}\) = $1.68

Total amount is: sale price + tax = 28 + 1.68 = $29.68

Total amount that you paid is $29.68.

Question 7.

The Fernandez family drove 273 miles in 5.25 hours. How far would they have driven at that rate in 4 hours?

(A) 208 miles

(B) 220 miles

(C) 280 miles

(D) 358 miles

Answer:

(A) 208 miles

Explanation:

To find how much he drove for one hour, number of miles divide by number of hours that he drove.

\(\frac{273}{5.25}\) = 52

He drove about 52 miles per hour

For 4 hours he will drive 4 ∙ 52 = 208 miles.

The right answer is 208 miles.

Question 8.

There are 20 tennis balls in a bag. Five are orange, 7 are white, 2 are yellow, and 6 are green. You choose one at random. Which color ball are you least likely to choose?

(A) green

(B) orange

(C) white

(D) yellow

Answer:

(D) yellow

Explanation:

Total number of possible outcomes is:

5 + 7 + 2 + 6 = 20

It is least likely to choose a yellow ball.

**Gridded Response**

Question 9.

Gibley’s frozen yogurt cones come in 3 flavors (chocolate, vanilla, and strawberry) with 4 choices of topping (sprinkles, strawberries, nuts, and granola). You choose a cone at random. What is the probability, expressed as a decimal, that you get a cone with strawberry topping?

Answer:

Number of favorable outcomes: Chocolate-strawberry, vanilla-strawberry, strawberry-strawberry.

Total number of possible outcomes: 3 possibilities for flavor and 4 possibiLities for topping = 3 ∙ 4 = 12

The probability to get a cone with strawberry topping is 0.25