Quiz 4 Review

A game consists of two spinners. Spinner #1 consists of the colors green, blue, and red. The spinner has a 1/3 chance of landing on any color in Spinner #1. Spinner #2 also consists of colors green, blue, and red. On that spinner, green has a 1/2 chance of being landed on, blue has a 1/4 chance, and red has a 1/4 chance. Refer to the diagram, which shows an area model of the sample space. What fractions should represent the boxes containing A, B, and C?

• $A=\frac{1}{9}\ \ B\ =\ \frac{1}{9}\ \ \ C\ =\ \frac{1}{9}$

• $A=\frac{1}{6}\ \ \ \ \ \ B\ =\ \frac{1}{6}\ \ \ \ \ \ C\ =\ \frac{1}{6}$
  

• $A=\frac{1}{3}\ \ \ \ B\ =\ \frac{1}{6}\ \ \ \ \ C\ =\ \frac{1}{6}$

• $A=\frac{1}{6}\ \ \ \ B\ =\ \frac{1}{9}\ \ \ \ \ C=\frac{1}{12}$

A game consists of two spinners. Spinner #1 consists of the colors green, blue, and red. The spinner has a 1/3 chance of landing on any color in Spinner #1. Spinner #2 also consists of colors green, blue, and red. On that spinner, green has a 1/2 chance of being landed on, blue has a 1/4 chance, and red has a 1/4 chance. Refer to the diagram, which shows an area model of the sample space. What is the probability of getting red on both spins?  Express answer as a percentage, rounded to the nearest tenth.

You flip a nickel three times.
Find the probability that all flips will land on tails.

• 1/2
• 1/4
• 1/6
• 1/8

A coin is flipped and a die is rolled. What is the probability that the coin lands heads up and the number rolled is 1?

• 6.3%
• 25.0%
• 8.3%
• 2.8%

A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?

• 5/6
• 1/2
• 1/3
• 1/6

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability both are odd?

• 1/4

• 1/2

• 2/4

• 3/4

Tangent is the ratio of the...

• ...the opposite side to the adjacent side for a given angle measurement.

• ...the adjacent side to the opposite side for a given angle measurement.

• ...the adjacent side to the hypotenuse for a given angle measurement.

• ...the opposite side to the hypotenuse for a given angle measurement.

tan (60) ≈

• 1.192

• 1.428

• 1.732

• 2.145

Using the angle of 35°, which tangent ratio can find the depth "d"?

• tan (35) = 500 / d

• tan (35) = d / 500

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 

• 63 ft
• 65 ft
• 74 ft
• 87 ft