Probability Quiz 3

1.) The letters of the alphabet are written on cards and placed in a brown paper bag. What is the probability of drawing a consonant, replacing it, and then drawing a Z? (A consonant is every letter that isn't a vowel. Vowels are a, e, i, o, and u.) [Enter answer as a simplified fraction]

2.) Daniel drew a toy from the treasure chest with 25 different toys. He selected a bouncy ball, replaced it, and then selected the bouncy ball again. What is the probability that this would occur? [Enter answer as a simplified fraction]

3.) A box of granola bars contains 3 chocolate chip bars, 2 peanut butter bars, 1 lemon bar, and 4 raisin bars. Matthew will randomly select a granola bar from the box and then select another bar. What is the probability that the first bar Matthew selects will be lemon and the second will be raisin? [Enter answer as a simplified fraction]

4.) The spinner above is spun twice. What is the probability of the arrow landing on a white space and then a space with stars? [Enter answer as a simplified fraction]

5.) Serena bought 5 shirts for $6 each and spent $7 on lunch. She paid for the shirts and lunch using her debit card. The change in the balance of Serena's checking account can be represented by the expression shown. 

 $5\left(-6\right)+\left(-7\right)$  
Which integer represents the change in the balance of Serena's checking account from these purchases?

•  $-37$  
  

•  $23$  
  

•  $-18$  
  

•  $4$ 

6.) George is playing a math game. He chooses three cards. The value of his cards is shown.

What is the sum of the values of George's three cards?

7.) Alejandra has $600 in her checking account. She wants to spend part of this money on a computer. She wants to have at least $250 left in her checking account after buying the computer. The inequality shown can be used to t, the amount of money in dollars that Alejandra can spend on the computer.

 $t+250\le600$  
Which inequality represents all possible values of t?

•  $t\ge350$  

•  $t\le850$  

•  $t\le350$  

•  $t\ge850$  

8.) What value of m makes this equation true?

 $-70=-200+m$  
[Enter just a number as your answer]

9.) [Enter just a number, no units]

• $108\ m^2$
  

• $60\ m^2$
  

• $72\ m^2$
  

• $120\ m^2$