Math

Jeremy will roll a number cube, numbered 1–6, twice. What is the probability of rolling an even number, then the number 3?

• 1/12
• 1/6
• 1/4

Terry placed 6 number tiles labeled 4, 7, 10, 11, 14, and 21 in a box. He will pick one of the number tiles from the box without looking. What is the probability Terry will pick a tile labeled with an even number?

• 2/3
• 1/3
• 1/2
• 1/4

Bobby is designing a simulation to answer the question below.
If 21% of the customers at a restaurant order fish, what is the probability that the next 3 customers in a row will order fish?
Which design using red marbles to represent customers who order fish is best for the simulation?

• randomly select 3 marbles from 21 red marbles and 79 green marbles
• randomly select 3 marbles from 63 red marbles and 37 green marbles
• randomly select 3 marbles from 7 red marbles and 93 green marbles
• randomly select 3 marbles from 1 red marble and 99 green marbles
  

Tasha is playing a game with 2 different types of fair geometric objects. One object has 8 faces numbered from 1 to 8. The other has 6 faces labeled M, N, O, P, Q, and R. What is the probability of rolling a number greater than 3 and the letter R on the first roll of both objects?

• 1/14
• 43/48
• 5/48
• 1/4

Mr. Bonet has a fair coin labeled “heads” and “tails.” He will flip the coin 6 times and record his results. What is the probability that the coin will land face-up on “tails” on all six flips?

• 1/2
• 1/6
• 1/12
• 1/64

A stack of playing cards contains 4 jacks, 5 queens, 3 kings, and 3 aces. Two cards will be randomly selected from the stack. What is the probability that a queen is chosen and replaced, and then a queen is chosen again?

• 6/225
• 2/21
• 1/9
• 4/9

Two friends are playing a game. A spinner is divided into four equal sections labeled 2, 4, 6, and 8. To make a move in the game, the spinner is spun and then either a blue or red card is randomly chosen. What is the probability that the spinner will land on either the number 4 or 8 and a blue card is chosen?

• 1/4
• 3/8
• 1/2
• 3/4

Each morning Mr. Elliot rides a city bus to work, and each afternoon he rides a different city bus home from work. He knows from experience that the morning bus is late 20% of the time, and the afternoon bus is late 40% of the time. Which simulation could Mr. Elliot use to determine the probability that both buses will be late on the same day?

• Randomly select 1 card from a set of cards. The set contains 3 pink cards and 7 green cards.
• Randomly select 1 card from a set of cards. The set contains 3 pink cards and 10 green cards.
• Randomly select 1 card from each of two sets of cards. One set contains 1 pink card and 4 green cards, and the other set contains 2 pink cards and 3 green cards.
• Randomly select 1 card from each of two sets of cards. One set contains 1 pink card and 5 green cards, and the other set contains 2 pink cards and 5 green cards.

Jeremy wants nuts and fruit as a snack. He has a choice of either almonds or pecans. He can choose either cherries or grapes to complete his snack. Which list shows all possible combinations of one type of nut and one type of fruit Jeremy can choose from?

• (Almonds, Cherries), (Almonds, Grapes), (Pecans, Grapes)
• (Almonds, Grapes), (Pecans, Cherries), (Almonds, Cherries)
• (Almonds, Cherries), (Pecans, Grapes), (Cherries, Grapes), (Almonds, Pecans)
• (Almonds, Grapes), (Pecans, Cherries), (Almonds, Cherries), (Pecans, Grapes)

Cody and Hilary each randomly pulled 20 balloons from a bin. Each balloon was the same shape and size. Cody chose 16 red balloons and 4 blue balloons. Hilary chose 12 red balloons and 8 blue balloons. Which conclusions are supported by the number of balloons Cody and Hilary chose?

• Cody concludes the balloons are in a 4 red to 1 blue ratio in the bin;
  Hilary concludes the balloons are in a 3 red to 2 blue ratio in the bin.
• Cody concludes the balloons are in a 3 red to 2 blue ratio in the bin;
  Hilary concludes the balloons are in a 4 red to 1 blue ratio in the bin.
• Cody concludes the balloons are in a 2 red to 1 blue ratio in the bin;
  Hilary concludes the balloons are in a 3 red to 1 blue ratio in the bin
• Cody concludes the balloons are in a 5 red to 3 blue ratio in the bin;
  Hilary concludes the balloons are in a 3 red to 2 blue ratio in the bin.